8.2 Operations With Matrices

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Presentation transcript:

8.2 Operations With Matrices Two matrices are equal if they have the same order. Matrices must be equal (of the same order) to be able to add them. For the matrices... & Find 3A - B

Solve for X in the equation 3X + A = B, where First, solve the equation for X.

To find the product of two matrices, we need to do row-by- column multiplication and then add the results. For the product of two matrices to be defined, the number of columns of the first matrix must equal the number of rows of the second matrix. A B = AB m x n n x p m x p equal order of AB

Example of Matrix Multiplication What is the resulting matrix? Are these the same? 2 x 3 Start by multiplying row 1 by column 1. 1(-2) + 0(1) + 3(-1) = -5

Now multiply R1 by C2 . Then R1 by C3 . 7 -1 Now multiply R2 by C1 , C2 , and C3 . What is the resulting matrix? Assignment: 1 - 9 odd, 11-27 odd