[PDF] Matrices PDF Matrices.pdf

This activity will show you how the calculator can be used to deal with matrices designed to help students find the determinant and inverse of a matrix as well

A Not all 2 × 2 matrices have an inverse matrix If the determinant of the matrix is zero, then it will not

Calculator

A METHOD OF INVERTING SYMMETRIC DEFINITE MATRICES of inverting matrices, the problem of inversion has not yet been solved with from the 2X2

[PDF] 25 Inverse Matrices - MIT Mathematics

Note 5 A 2 by 2 matrix is invertible if and only if ad bc is not zero: Note 6 A diagonal matrix has an inverse provided no diagonal entries are zero: If A D 2 6 4

[PDF] Basic Matrix Manipulation with a TI-89/TI-92/Voyage 200

The calculator will return an error if the dimensions are not the same ) Multiplying Matrices: Matrix multiplication is easy on the TI-89 For scalar multiplication,

[PDF] Matrices

This activity will show you how the calculator can be used to deal with matrices designed to help students find the determinant and inverse of a matrix as well

[PDF] Matrix Inversion: Determinant Method - Patna UNIVERSITY

Python codes are given below to find the inverse of a 2 by 2 matrix using print(" For inverse calculation matrix should be square\n thus enter the same number

[PDF] Numerical methods of matrix inversion - CORE

2x2 matrices on the diagonal As was shoira in the ' second method of this report, the inverse of a 2 x 2 matrix is easy to

[PDF] Calculator Instructions for Matrices - Math 4 Tigers

6 mar 2021 · Use the blue option above the multiplication symbol to choose a matrix • If the matrix is bigger than a 2x2, the calculator will ask you to enter

[PDF] fx-991EX/fx-570EX - CASIO

Operations with matrices and matrix related calculations are all located in the Matrix Menu To calculate the determinant of the matrix, press as Matrix A and the solution matrix as Matrix B MATRIX To enter Matrix calculation, press C

Matrices

This resource sheet is designed for use with the Casio fx-CG20. However it can be used with the Casio fx-9860GII or the Casio fx-9750GII although there may be some differences in the key sequences needed and in the screen displays. Aim This activity will show you how the calculator can be used to deal with matrices. You will be exploring how to add, subtract and multiply matrices. The investigations are designed to help students find the determinant and inverse of a matrix as well as investigating how matrices can be used to describe transformations.

Put the calculator in RUN-MAT mode by pressing

p 1

Select 'Set-up' by pressing

Lp and select 'Linear' for

Input/output by selecting

Go to the Matrix table by selecting Mat

q from the menu bar.

To enter a matrix press

l and you will be asked to select the dimensions for your matrix. 'm' is the number of rows and 'n' the number of columns.

If Martrix A is ))

4321 , first enter m = 2 and n = 2 into the

calculator pressing l after each selection.

Enter the four values again pressing

l after each selection. Press d to return to the main matrix screen.

Enter ))

4122 as matrix B

Enter

21 as matrix C

Matrices

Press d d to return to the main RUN screen.

Press i w to bring up the Matrix menu bar To add matrix A to matrix B we need to key in Mat A + Mat B. Use q to print "Mat" on the screen. You will need to use the a key to access the letters, so a f gives you 'A' Press l for the result.

Matrices

You should now feel fairly confident using basic matrices on the calculator. Here are some investigations that will encourage your students to explore some of the features of matrices using the graphics calculator.

Investigations

Investigation 1

Find: a) Matrix A - Matrix B b) 2 x Matrix A c) Matrix B x Matrix C d) Matrix C x Matrix B What do the results of c) and d) tell us about multiplication of matrices and why does this happen?

Investigation 2

Clear all the previous matrices in the calculator.

Enter the following matrices

Matrix G represents a triangle set in the x-y plane with the coordinates of the vertices being (1,0), (3,0) and (3,2). Enter matrix G as

200331

Find Matrix A x Matrix G, Matrix B x Matrix G and so on for matrices A to F. Sketch the results on graph paper and suggest a geometrical transformation that is represented by each of the six matrices A to F.

Check your suggestion by multiplying each by ))

432553

Matrix D ))

0110

Matrix E

3003

Matrix F

1001

Matrix A ))

1001

Matrix B

0110

Matrix C

-0110

Matrices

Investigation 3

You can find the inverse of a matrix by using the reciprocal (x -1) operation.

To find the inverse of ))

4321, enter the matrix into your

calculator. I am entering it as matrix H so that I can keep the matrices from investigation 2.

Then in the RUN screen simply enter Mat H x

-1. You will find x-1 by pressing Lk. Using the matrices from investigation 2, Find the inverses of matrices A to F

What geometric transformations do they represent?

How do these transformations compare with the transformations represented by the original matrices?

Try finding the inverse of matrix J = ))

6321. What happens?

Find the determinant of the matrix J by entering

p 1 to get to the RUN screen iw for Matrices e for Det qak for Mat J l Does this always happen with matrices with this determinant? Make up some more matrices of your own that have the same feature and check. Why should this be the case?quotesdbs_dbs14.pdfusesText_20

[PDF] [PDF] Matrices

Matrices

Put the calculator in RUN-MAT mode by pressing

Select 'Set-up' by pressing

Lp and select 'Linear' for

Input/output by selecting

Go to the Matrix table by selecting Mat

To enter a matrix press

If Martrix A is ))

4321 , first enter m = 2 and n = 2 into the

Enter the four values again pressing

Enter ))

4122 as matrix B

21 as matrix C

Matrices

Press d d to return to the main RUN screen.

Matrices

Investigations

Investigation 1

Investigation 2

Enter the following matrices

200331

Check your suggestion by multiplying each by ))

432553

Matrix D ))

Matrix E

Matrix F

Matrix A ))

Matrix B

Matrix C

Matrices

Investigation 3

To find the inverse of ))

4321, enter the matrix into your

Then in the RUN screen simply enter Mat H x

What geometric transformations do they represent?

Try finding the inverse of matrix J = ))

6321. What happens?

Find the determinant of the matrix J by entering