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Warm up. Find 2A + 3B. HOMEWORK QUESTIONS?????. Multiplying Matrices. In order to multiply matrices. A • B = AB. m x n. m x p. n x 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.
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Warm up • Find 2A + 3B HOMEWORK QUESTIONS?????
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
How to multiply... ac ad = 2 x 1 1 x 2 2 x 2
How to multiply... ac ad = bc bd 2 x 1 1 x 2 2 x 2
How to multiply... ae +bg af +bh = 2 x 2 2 x 2 2 x 2
How to multiply... ae +bg af +bh = ce +dg cf +dh 2 x 3 3 x 2 2 x 2
Ex. 2 -1(4) +5(6) -1(-3) +5(8) -4 + 30 3 + 40 20 +12 -15 + 16 5(4) +2(6) 5(-3) +2(8) = 26 43 32 1
Ex. 2 FindAB
Ex. 3 FindBA