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##### Warm-Up

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**Warm-Up**3) 1) 4) Name the dimensions 2)**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**How to multiply...**ac ad = bc bd 2 x 1 1 x 2 2 x 2**Ex. 1**2 x 1 1 x 2 2 x 2**How to multiply...**ag +bi +ck ah +bj +cm = dg + ei + fk dh + ej + fm 2 x 3 3 x 2 2 x 2**Ex. 2**2 x 2 3 x 2 FindKM 3 x 2**Ex. 3**FindMK = ???? 2 x 2 3 x 2 Can’t be done**Ex. 4**FindBA**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**Ex. 7**What size is the answer? 2 x 3 18 If the answer is named matrix X, find x22 only! Check it out!**Homework**• Pg. 46 • 1 – 15 odd • Pg. 47 • 1 – 13 odd