Matrix Multiplication Algebra II Matrix Multiplication

Scalar Multiply the whole matrix by the same number 6 4 5 3 2 6 4 5 3 2 6(4) 6(5) 6(3) 6(2) = 24 30 18 12

2𝑋+3 3 5 1 3 = 15 11 7 5 2 𝑥 1 +3 3 =15 2 𝑥 2 +3 5 =11 2 𝑥 3 +3 1 =7 2 𝑥 4 +3 3 =5 3 −2 2 −2

1 2 3 4 ∗ 5 6 7 8 1 5 +2(7) 1 6 +2(8) 3 5 +4(7) 3 6 +4(8) 19 22 43 50

Not all Matrices can be multiplied 3 𝑥 5 𝑎𝑛𝑑 5 𝑥 3 𝑌𝑒𝑠 3 𝑥 3 4 𝑥 2 𝑎𝑛𝑑 4 𝑥 2 𝑁𝑂

1 5 8 3 ∗ 1 4 8 3 4 7

iRAT −3 4 5 2 1 0 2 −3 −3 5 −3 0 5 0 1 2 −1 0 3 1 2 −1 −2 −3 2 −5 1 2 4

Problems Page 186 #2-36 even