Matrix Revision

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# Matrix Revision - PowerPoint PPT Presentation

Matrix Revision. Basic Operations – Beat the Clock. 5:00 4:30 4:00 3:30 3 :00 2:30 2:00 1:30 1:00 0:30 TIME UP!!. 35 32 8 Can’t do it! -12 20 -60 88 5/17 -2/17 1/17 3/17 A. 3x2 3 0 5 -5 0 -1 3 -5 3 6 -13 25 Can’t do it! .

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### Matrix Revision

Basic Operations – Beat the Clock

5:00

4:30

4:00

3:30

3:00

2:30

2:00

1:30

1:00

0:30

TIME UP!!

35

32

8

Can’t do it!

-12 20

-60 88

5/17 -2/17

1/17 3/17

A

3x2

3 0

5 -5

0 -1

3 -5

3 6

-13 25

Can’t do it!

Important terms – what do these mean?
• Order of a matrix
• What does the order tell you when multiplying matrices?
• Zero matrix
• Identity matrix
Calculator techniques
• Briefly note down the buttons and functions you may need to use with matrices
Determinant
• What are the two main notations used for the determinant?
• Pair up the following – no calculators!:

11

6

4

-31

Finding the Inverse
• In what situations can the inverse be found?
• 2 x 2 by hand, 3 x 3 on GDC
• If AB = I what does that tell you about A and B?
• If CD = 5I, what is the inverse of D?
Simultaneous equations
• AX = B. Make X the subject showing all lines of working clearly.
• Solve the following simultaneous equations using matrices and a GDC.

5, -2 0.6, -5.3, 3.9

Algebra and matrices
• What is the important law that works with normal algebra and not matrix algebra?