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Warm-Up

Warm-Up. 3). 1). 4) Name the dimensions. 2). Quiz – you may use your notes. 1). 3). 4) Name the dimensions. 2). Check your work!! Watch out for careless errors. 4.2 Multiplying Matrices. In order to multiply matrices. A • B = AB. m x n. m x p. n x p. Ex 1.

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Warm-Up

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

  2. Quiz – you may use your notes 1) 3) 4) Name the dimensions 2) Check your work!! Watch out for careless errors.

  3. 4.2 Multiplying Matrices

  4. In order to multiply matrices... A • B = AB m xn m x p nx p Ex 1. Can you multiply? What will the dimensions be? A B AB 2 x 3 3 x 4 2 x 4 AB A B 5 x 3 5 x 2 Not possible

  5. Multiply Matrices

  6. Ex. 1 FindAB -16 + 1 -12 +2 -15 -10 = 0 - 2 0 - 4 -2 - 4

  7. Ex. 2 FindBA and AB

  8. How to multiply... ag +bi +ck ah +bj +cm = 2 x 3 3 x 2 2 x 2

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

  10. Ex. 1 -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. 2

  12. Application In a four team track meet, 5 points were awarded for first place, 3 points for second and 1 point for third Which school won the meet?

  13. Assignment

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