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Posted on Jan 02, 2017

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SOURCE: how do i multiply a (2x2) matrix by a (2x1) in the ti 89

Hello,

The so-called (2x1) matrix is not a matrix. It is a vector.

Hope it helps.

Posted on Sep 05, 2009

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SOURCE: I have a Casio fx-115ES; I have followed the

Calculator should be in [MATRIX] MODE

Try the matrices 2X2 matrices matA [1,2,3,4] matB [5,6,7,8], Add them, subtract them, multiply them, take the square of each. If that works for these matrices, then it must be your data. Be careful with negative numbers. To enter those, you must use the change sign (-).

There is also the possibility that the instructions were misread.

Posted on Dec 15, 2009

SOURCE: Use augmented matrices to solve the following 2x2

This is not an "Operating Systems" question!

(-5 7) (x y) = (9)

(1 10) (x y) = (21)

(-5 7) (x y) = (9)

(5 50) (x y) = (105)

(0 57) (x y) = (114)

(1) (y) = (2)

(1) (x) = (1)

QED

Posted on Mar 02, 2010

SOURCE: Im trying to multiply matrices on my calculator

Dimensions of matrices involved in operations must match.

Here is a short summary

You can only add and subtract matrices that have the same dimensions: the numbers of rows must be equal, and the number of columns must be equal.

The multiplication of structured mathematical entities (vectors, complex
numbers, matrices, etc.) is different from the multiplication of
unstructured (scalar) mathematical entities (regular umbers). As you
well know matrix multiplication is not commutative> This has to do
with the dimensions.

An **mXn **matrix has** m rows **and**
n columns**. To perform multiplication of an **kXl** matrix by
an **mXn** matrix you multiply each element in one row of the first
matrix by a specific element in a column of the second matrix. This
imposes a condition, namely that the number of columns of the first
matrix be equal to the number of rows of the second.

Thus, to be
able to multiply a kXl matrix by am mXn matrix, the number of columns of
the first (l) must be equal to the number of rows of the second (m).

Let there be two matrices MatA and MatB. The dimensions are indicated as mXn where m and n are natural numbers (1,2,3...)

The product ** MatA(kXl) * MatB(mXn) is possible only if l=m**

MatA(kX3) *
MatB(3Xn) is possible and meaningful, but

MatA(kX3) * MatB(nX3) may not
be possible.

To get back to your calculation, make sure that the
number of columns of the first matrix is equal to the number of rows of
the second.** If this condition is not satisfied, the calculator
returns a dimension error**. The order of the matrices in the
multiplication is, shall we say, vital.

Posted on Oct 30, 2010

SOURCE: how do you add matrices

Here is enough to get you started and a little more.

Read
the post ant consult your calculator manual. The screen captures below
may not look exactly as your calculator but the steps are identical.**A. Define a matrix (Create it)**

- Turn calculator ON.
- Press Menu,select the MAT icon and press [EXE]
- You see a list of possible matrix labels (A, B, C,D,E,F)
- All that have not been created have a "none" to their right
- Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
- That is where you specify the dimensions (mxn). example. 2x2
- Enter the first dimension and press [EXE]
- Enter the 2nd dimension and press [EXE]
- A matrix template opens where you enter the coefficients left to right and up down.
- After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

- These operations are accessed as follows.
- Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
- Press [OPTN][F2:MAT]
- You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

- You press the [OPTN][F2:MAT] key sequence (just above)
- Press [F3:Det]; the command
**det**is displayed on screen. - Press [F1:Mat] the identifier
**Mat**is displayed. - Press [ALPHA] A; screen display
**det Mat A**. - Press [EXE] to get the value of the determinant.

[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above

Press [F1:Mat] to have identifier Mat displayed.

Enter the name of the matrix by pressing [ALPHA] A, for example.

Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Posted on Apr 07, 2011

The following was written for the Casio FX-991 ES. If matrix calculations are available on your calculator you will perform them as described below. ( I have no time to verify that the FX-991ms can perform matrix calculations).

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matricies, at the end.)

First you must set Matrix calculation

[MODE][6:Matrix]. Then By entering one of the numbers [1:MatA] or [2:Matb] or [3:MatC] you get to choose the dimensions of the matrix

(mxn]. Once finished entering the matrix you clear the screen.

The operations on matrices are available by pressing [Shift][Matrix]

[1:Dim] to change the dimension of a matrix (in fact redefining the matrix)

[2:Data] enter values in a matrix

[3:MatA] access Matrix A

[4:Matb] access Matrix B

[5:MatC] access matrix C

[6:MatAns] access the Answer Matrix (the last matrix calculated)

[7:det] Calculate the determinant of a matrix already defined

[8:Trn] The transpose of a matrix already defined

To add matrices MatA+MatB

To subtract MatA-MatB

To multiply MatAxMatB

To raise a matrixe to a power 2 [x2], cube [x3]

To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key

Dimensions of matrices involved in operations must match.

Here is a short summary

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An**mXn **matrix has** m rows **and**
n columns**. To perform multiplication of an **kXl** matrice by
an **mXn** matrix you multiply each element in one row of the first
matrix by a specific element in a column of the second matrix. This
imposes a condition, namely that the number of columns of the first
matrix be equal to the number of rows of the second.

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So**
MatA(kXl) * MatB(mXn) is possible only if l=m**

MatA(kX3) * Mat(3Xn) is possible and meaningful, but

Mat(kX3) * Mat(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.** If this condition is not satisfied, the calculator
returns a dimension error**. The order of the matrices in the
multiplication is, shall we say, vital.

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matricies, at the end.)

First you must set Matrix calculation

[MODE][6:Matrix]. Then By entering one of the numbers [1:MatA] or [2:Matb] or [3:MatC] you get to choose the dimensions of the matrix

(mxn]. Once finished entering the matrix you clear the screen.

The operations on matrices are available by pressing [Shift][Matrix]

[1:Dim] to change the dimension of a matrix (in fact redefining the matrix)

[2:Data] enter values in a matrix

[3:MatA] access Matrix A

[4:Matb] access Matrix B

[5:MatC] access matrix C

[6:MatAns] access the Answer Matrix (the last matrix calculated)

[7:det] Calculate the determinant of a matrix already defined

[8:Trn] The transpose of a matrix already defined

To add matrices MatA+MatB

To subtract MatA-MatB

To multiply MatAxMatB

To raise a matrixe to a power 2 [x2], cube [x3]

To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key

Dimensions of matrices involved in operations must match.

Here is a short summary

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So

MatA(kX3) * Mat(3Xn) is possible and meaningful, but

Mat(kX3) * Mat(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.

Nov 06, 2012 | Casio FX991MS Scientific Calculator

Sorry, but your matrices do not make sense.If you multiply a matrix by a scalar the resulting (product) matrix has exactly the same structure as the one you multiplied : (mXn) times a yields another (mXn) matrix.

Be it as it may, when you multiply a matrix by a scalar, you obtain the product by multiplying every element of the original matrix by the scalar.

Here is a screen capture showing the multiplication of a 2X2 matrix by a scalar.

Note: I have noticed that screen captures I insert in my answers are sometimes deleted (by FixYa?). So if you do not see a picture it has nothing to do with me.

Be it as it may, when you multiply a matrix by a scalar, you obtain the product by multiplying every element of the original matrix by the scalar.

Here is a screen capture showing the multiplication of a 2X2 matrix by a scalar.

Note: I have noticed that screen captures I insert in my answers are sometimes deleted (by FixYa?). So if you do not see a picture it has nothing to do with me.

Dec 11, 2011 | Office Equipment & Supplies

Matrix multiplication is defined only when the width of the first matrix is equal to the height of the second. You can multiply a 2x2 matrix by a 1x2 matrix or multiply a 2x1 matrix by a 2x2 matrix, but you cannot multiply a 2x2 matrix by a 2x1 matrix.

Jun 13, 2011 | Texas Instruments TI-89 Calculator

First put the calculator into matrix mode. Do this by pressing [mode]

then [5] . Insert your matrices (you have 3 that can be saved in this calculator MatA, MatB, and MatC). Press the [ac] button, this will allow you to do calculations on the matrices. From here you use the calculation keys to do your calculations. There are many calculations that this calculator can do. A couple examples are: multiplying a matrix by a constant you would type in MatA x 4 = , or you could add two matrices of the same dimension by typing in MatA + MatB =, or you could find the determinant by typing in (det (MatA)) = .

then [5] . Insert your matrices (you have 3 that can be saved in this calculator MatA, MatB, and MatC). Press the [ac] button, this will allow you to do calculations on the matrices. From here you use the calculation keys to do your calculations. There are many calculations that this calculator can do. A couple examples are: multiplying a matrix by a constant you would type in MatA x 4 = , or you could add two matrices of the same dimension by typing in MatA + MatB =, or you could find the determinant by typing in (det (MatA)) = .

Mar 17, 2011 | Casio FX-115ES Scientific Calculator

The enclosed screen capture shows all the possible dimensions for matrices on the Casio FX-991ES. As you can see the maximum dimension of any matrix is 3. You can only create matrices with dimensions less than or equal to 3.

Dec 01, 2010 | Casio FX-115ES Scientific Calculator

Dimensions of matrices involved in operations must match.

Here is a short summary

You can only add and subtract matrices that have the same dimensions: the numbers of rows must be equal, and the number of columns must be equal.

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An**mXn **matrix has** m rows **and**
n columns**. To perform multiplication of an **kXl** matrix by
an **mXn** matrix you multiply each element in one row of the first
matrix by a specific element in a column of the second matrix. This
imposes a condition, namely that the number of columns of the first
matrix be equal to the number of rows of the second.

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

Let there be two matrices MatA and MatB. The dimensions are indicated as mXn where m and n are natural numbers (1,2,3...)

The product** MatA(kXl) * MatB(mXn) is possible only if l=m**

MatA(kX3) * MatB(3Xn) is possible and meaningful, but

MatA(kX3) * MatB(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.** If this condition is not satisfied, the calculator
returns a dimension error**. The order of the matrices in the
multiplication is, shall we say, vital.

Here is a short summary

You can only add and subtract matrices that have the same dimensions: the numbers of rows must be equal, and the number of columns must be equal.

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

Let there be two matrices MatA and MatB. The dimensions are indicated as mXn where m and n are natural numbers (1,2,3...)

The product

MatA(kX3) * MatB(3Xn) is possible and meaningful, but

MatA(kX3) * MatB(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.

Oct 30, 2010 | Texas Instruments TI-84 Plus Calculator

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matricies, at the end.)

First you must set Matrix calculation

[MODE][6:Matrix]. Then By entering one of the numbers [1:MatA] or [2:Matb] or [3:MatC] you get to choose the dimensions of the matrix

(mxn]. Once finished entering the matrix you clear the screen.

The operations on matrices are available by pressing [Shift][Matrix]

[1:Dim] to change the dimension of a matrix (in fact redefining the matrix)

[2:Data] enter values in a matrix

[3:MatA] access Matrix A

[4:Matb] access Matrix B

[5:MatC] access matrix C

[6:MatAns] access the Answer Matrix (the last matrix calculated)

[7:det] Calculate the determinant of a matrix already defined

[8:Trn] The transpose of a matrix already defined

To add matrices MatA+MatB

To subtract MatA-MatB

To multiply MatAxMatB

To raise a matrixe to a power 2 [x2], cube [x3]

To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key

Dimensions of matrices involved in operations must match.

Here is a short summary

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An**mXn **matrix has** m rows **and**
n columns**. To perform multiplication of an **kXl** matrice by
an **mXn** matrix you multiply each element in one row of the first
matrix by a specific element in a column of the second matrix. This
imposes a condition, namely that the number of columns of the first
matrix be equal to the number of rows of the second.

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So**
MatA(kXl) * MatB(mXn) is possible only if l=m**

MatA(kX3) * Mat(3Xn) is possible and meaningful, but

Mat(kX3) * Mat(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.** If this condition is not satisfied, the calculator
returns a dimension error**. The order of the matrices in the
multiplication is, shall we say, vital.

First you must set Matrix calculation

[MODE][6:Matrix]. Then By entering one of the numbers [1:MatA] or [2:Matb] or [3:MatC] you get to choose the dimensions of the matrix

(mxn]. Once finished entering the matrix you clear the screen.

The operations on matrices are available by pressing [Shift][Matrix]

[1:Dim] to change the dimension of a matrix (in fact redefining the matrix)

[2:Data] enter values in a matrix

[3:MatA] access Matrix A

[4:Matb] access Matrix B

[5:MatC] access matrix C

[6:MatAns] access the Answer Matrix (the last matrix calculated)

[7:det] Calculate the determinant of a matrix already defined

[8:Trn] The transpose of a matrix already defined

To add matrices MatA+MatB

To subtract MatA-MatB

To multiply MatAxMatB

To raise a matrixe to a power 2 [x2], cube [x3]

To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key

Dimensions of matrices involved in operations must match.

Here is a short summary

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular umbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An

Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So

MatA(kX3) * Mat(3Xn) is possible and meaningful, but

Mat(kX3) * Mat(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second.

Mar 06, 2010 | Casio FX-115ES Scientific Calculator

Calculator should be in [MATRIX] MODE

Try the matrices 2X2 matrices matA [1,2,3,4] matB [5,6,7,8], Add them, subtract them, multiply them, take the square of each. If that works for these matrices, then it must be your data. Be careful with negative numbers. To enter those, you must use the change sign (-).

There is also the possibility that the instructions were misread.

Try the matrices 2X2 matrices matA [1,2,3,4] matB [5,6,7,8], Add them, subtract them, multiply them, take the square of each. If that works for these matrices, then it must be your data. Be careful with negative numbers. To enter those, you must use the change sign (-).

There is also the possibility that the instructions were misread.

Dec 14, 2009 | Casio FX-115ES Scientific Calculator

Hello,

The so-called (2x1) matrix is not a matrix. It is a vector.

Hope it helps.

The so-called (2x1) matrix is not a matrix. It is a vector.

Hope it helps.

Apr 26, 2009 | Texas Instruments TI-89 Calculator

Normal
0
5x2+3y2-z2 = 32

2x2-3y2+2z2 = 32

-x2+3y2-3z2 = -64

2x2-3y2+2z2 = 32

-x2+3y2-3z2 = -64

Jan 01, 2008 | Sharp EL-506WBBK Calculator

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