# Matrix Operations Objectives: • Use matrix...

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8.3 Matrix Operations Objectives: Use matrix notation. Define equal matrices. Add and subtract matrices. Perform scalar multiplication of matrices. Multiply of matrices. 1
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A = 3 × 3 square matrix B = 3 × 2 matrix C = 2 × 3 matrix D = identity matrix E = column matrix F = row matrix 3
Matrix Addition and Subtraction ____________________ Matrices can be added or subtracted only if they are of the same order. Matrices are added by adding the corresponding entries. Matrices are subtracted by subtracting the corresponding entries. As with real numbers, matrix addition is commutative and associative and has the identity and inverse properties. 4
Example. A = B = a. A + B = 5 b. B – A =
Scalar Multiplication_________________________________ To multiply a matrix by a scalar