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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! .
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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?