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Warm-Up

Warm-Up. 3). 1). 4) Name the dimensions. 2). 4.2 Multiplying Matrices. In order to multiply matrices. A • B = AB. m x n. n x p. m x p. Can you multiply? What will the dimensions be?. A. B. = AB. . 2 x 3. 3 x 4. 2 x 4. A. . = AB. B. 5 x 2.

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Warm-Up

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  1. Warm-Up 3) 1) 4) Name the dimensions 2)

  2. 4.2 Multiplying Matrices

  3. In order to multiply matrices... A • B = AB m xn nx p m x p Can you multiply? What will the dimensions be? A B = AB  2 x 3 3 x 4 2 x 4 A  = AB B 5 x 2 Not possible 5 x 3 different

  4. How to multiply... ac ad = bc bd 2 x 1 1 x 2 2 x 2

  5. Ex. 1 2 x 1 1 x 2 2 x 2

  6. How to multiply... ag +bi +ck ah +bj +cm = dg + ei + fk dh + ej + fm 2 x 3 3 x 2 2 x 2

  7. Ex. 2 2 x 2 3 x 2 FindKM 3 x 2

  8. Ex. 3 FindMK = ???? 2 x 2 3 x 2 Can’t be done

  9. Ex. 4 FindBA

  10. Ex. 5 -1(4) +5(6) -1(-3) +5(8) -4 + 30 3 + 40 20 +12 -15 + 16 5(4) +2(6) 5(-3) +2(8) = 0 + -24 0 + -32 0(4) +-4(6) 0(-3) +-4(8) 26 43 32 1 -24 -32

  11. EX. 6

  12. Ex. 7 What size is the answer? 2 x 3 18 If the answer is named matrix X, find x22 only! Check it out!

  13. Are there any questions?

  14. Homework • Pg. 46 • 1 – 15 odd • Pg. 47 • 1 – 13 odd

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