Objectives Multiply two matrices.

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Objectives Multiply two matrices. 4.2 Matrix Multiplication Objectives Multiply two matrices. Use matrix multiplication to solve mathematical and real-world problems.

Glossary Terms dimensions of a matrix matrix multiplication

Rules and Properties Matrix Multiplication If matrix A has dimensions m  n, and matrix B has dimensions n  r, then A  B has dimensions m  r.

Rules and Properties Matrix Multiplication To find the entry in row i and column j of AB: Find the sum of the products of the corresponding entries in row i of A and column j of B.

Key Skills Multiply matrices. 4.2 Matrix Multiplication Key Skills Multiply matrices. Two matrices can be multiplied if their inner dimensions are the same. 2  3 3  1 2  1 2 –3 –1 1 4 8 -1 2(–1) + (–3)2 + (–1)0 1(–1) + 4(2) + 8(0) = –8 7 = TOC