Question about Texas Instruments TI-84 Plus Calculator

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Unfortunately, you can't. From the most recent guidebook: "You can store only real numbers in TI-84 matrices. Fractions are stored as real numbers and can be used in matrices."

Posted on Sep 07, 2010

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Posted on Jan 02, 2017

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SOURCE: using imaginary numbers in a matrix

Press MODE and select one of the two complex modes.

Posted on Feb 18, 2010

Sorry, you cannot do that. If matrix is small split it in imaginary part and real part . This will double the dimensions. But this family of calculators you can have matrices with dimensions at most equal to three. Do the calculation by hand.

Dec 30, 2015 | Casio Scientific Calculator Fx-570 Fx570...

The 30XIIs doesn't deal with complex numbers directly. You can separate the real and imaginary parts and deal with them separately.

Feb 03, 2014 | Texas Instruments TI-30 XIIS Calculator

The 30Xa doesn't work with complex numbers. You'll have to work with the real and imaginary components separately, just like they taught you in class.

Feb 03, 2014 | Texas Instruments TI-30XA Calculator

The TI-84 works with real fractions. It will not convert complex numbers to fractions.

You can convert the real and imaginary components to fractions separately. For your example, 1/(1+i) is .5-.5i. Converting .5 and -.5 to fractions, you get 1/2 + (1/2)i.

You can convert the real and imaginary components to fractions separately. For your example, 1/(1+i) is .5-.5i. Converting .5 and -.5 to fractions, you get 1/2 + (1/2)i.

Sep 15, 2011 | Texas Instruments TI-84 Plus Calculator

This calculator can do simply algebra with complex numbers-addition, subtractions, multiplications, extract the imaginary and real parts- but not much else. Sorry, calculating exponentials or complex numbers is not within its capabilities.

Aug 03, 2011 | Casio FX-115ES Scientific Calculator

Real Numbers are just numbers like:
1
12.38
-0.8625
3/4
?2
1998
In fact:

Real does not mean they are in the real world They are**not** called "Real" because they show the value of something **real**.

In mathematics we like our numbers pure, if we write 0.5 we mean**exactly** half, but in the real world half may not be *exact* (try cutting an apple exactly in half).

Nearly any number you can think of is a Real Number

Real Numbers include:
Whole Numbers (like 1,2,3,4, etc)
Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )
Irrational Numbers (like **?**, ?3, etc )

Real Numbers can also be positive, negative or zero.

So ... what is NOT a Real Number?
?-1 (the square root of minus 1) is not a Real Number, it is an Imaginary Number
Infinity is not a Real Number
And there are also some special numbers that mathematicians play with that are not Real Numbers

Why are they called "Real" Numbers?

**Because they are not Imaginary Numbers.**

The Real Numbers did not have a name before Imaginary Numbers
were thought of. They got called "Real" because they were not Imaginary.
That is the actual answer!

The Real Number Line
The Real Number Line is like an actual geometric line.

A point is chosen on the line to be the **"origin"**, points to the right will be positive, and points to the left will be negative.

A distance is chosen to be "1", and the whole numbers can then be
marked off: {1,2,3,...), and also in the negative direction: {-1,-2,-3,
...}

Any point on the line is a Real Number:

- The numbers could be rational (like 20/9)
- or irrational (like ?)

Real does not mean they are in the real world They are

In mathematics we like our numbers pure, if we write 0.5 we mean

Jul 10, 2011 | Computers & Internet

Dec 06, 2010 | Texas Instruments TI-89 Calculator

Turn calculator ON.

If you see no icons, press [MENU] key.

Use Arrows to focus on RUN and press [EXE]

Press [OPTN]

Among the TABS that appear at the bottom of screen you have CPLX.

Press [F3] to activate it.

The menu TABS that are displayed allow you manipulate complex numbers:

F1 :i imaginary unit i

F2: Abs takes the absolute value of a complex number.

F3:Arg, gives the argument (angle the complex number makes with the positive X-Axis)

F4: Conj calculates the Conjugate of a number.

F5: ReP extracts the Real part

F6:Imp extracts the Imaginary part.

For other operations use the operation keys [Plus] [MINUS] [*][/] [X^2] [Square root]. Be careful using the universal power key or the xroot key as it may lead to a Memory error.

If you see no icons, press [MENU] key.

Use Arrows to focus on RUN and press [EXE]

Press [OPTN]

Among the TABS that appear at the bottom of screen you have CPLX.

Press [F3] to activate it.

The menu TABS that are displayed allow you manipulate complex numbers:

F1 :i imaginary unit i

F2: Abs takes the absolute value of a complex number.

F3:Arg, gives the argument (angle the complex number makes with the positive X-Axis)

F4: Conj calculates the Conjugate of a number.

F5: ReP extracts the Real part

F6:Imp extracts the Imaginary part.

For other operations use the operation keys [Plus] [MINUS] [*][/] [X^2] [Square root]. Be careful using the universal power key or the xroot key as it may lead to a Memory error.

Oct 07, 2010 | Casio FX-9750GPlus Calculator

I am afraid you cannot use the TI8xPlus family of calculators to solve linear systems in matrix form. In this calculator, matrices must have real coefficients.

You can however separate (expand) the problem into a linear system of 4 equations in 4 unknowns and try to solve it with the calculator.

If I did not make mistakes during the expansions and the gathering of terms you should get the following equation

-(8a+8c+10d) +i*(-8b+10c-8d) =0+i*0 from which you extract an equation for the real parts, -(8a+8c+10d)=0 and another for the imaginagy parts i*(-8b+10c-8d) =i*0

If I did not make mistakes (you should be able to find them, if any) your system of two linear equations with complex coefficents has been converted to a system of 4 linear equations with real coefficients.

8a-15b-8c=10

15a+8b-8d=0

8a+8c+10d=0

-8b+10c-8d =0

Now, you can in theory solve this system with help of the calculator, to find a, b, c, and d. When these are found, you can reconstruct the X and Y solutions.

Now get to work: Ascertain that my extracted equations are correct, then solve for a, b,c, and d, and reconstruct X and Y.

I am no seer, but my hunch is that this system is degenarate. I will not explain what that means.

You can however separate (expand) the problem into a linear system of 4 equations in 4 unknowns and try to solve it with the calculator.

- define X = a+i*b
- Define Y=c+i*d
- Rewrite the first equation substituting a+i*b for X and c+i*d for y.
- Gather all real terms together, and all imaginary terms together on the left.
- You will have (8a-15b-8c) +i(15a+8b-8d) = 10 +0i
- This equation can be split into two equations by saying that

- the real part pf the left member is equal to the real part of the right member, this gives 8a-15b-8c=10, and
- the imaginary part of the left member is equal to the imaginary part of the right member, this gives 15a+8b-8d=0

If I did not make mistakes during the expansions and the gathering of terms you should get the following equation

-(8a+8c+10d) +i*(-8b+10c-8d) =0+i*0 from which you extract an equation for the real parts, -(8a+8c+10d)=0 and another for the imaginagy parts i*(-8b+10c-8d) =i*0

If I did not make mistakes (you should be able to find them, if any) your system of two linear equations with complex coefficents has been converted to a system of 4 linear equations with real coefficients.

8a-15b-8c=10

15a+8b-8d=0

8a+8c+10d=0

-8b+10c-8d =0

Now, you can in theory solve this system with help of the calculator, to find a, b, c, and d. When these are found, you can reconstruct the X and Y solutions.

Now get to work: Ascertain that my extracted equations are correct, then solve for a, b,c, and d, and reconstruct X and Y.

I am no seer, but my hunch is that this system is degenarate. I will not explain what that means.

Feb 10, 2010 | Texas Instruments TI-84 Plus Calculator

Press MODE and select one of the two complex modes.

Mar 30, 2009 | Texas Instruments TI-84 Plus Calculator

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