Section 7.4 Matrix Algebra.

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Presentation transcript:

Section 7.4 Matrix Algebra

If A and B are both m × n matrices then the sum of A and B, denoted A + B, is a matrix obtained by adding corresponding entries of A and B. The difference of A and B, denoted A - B, is obtained by subtracting corresponding entries of A and B.

The Zero Matrix

If A is an m × n matrix and s is a scalar, then we let kA denote the matrix obtained by multiplying every element of A by k. This procedure is called scalar multiplication.

AB ≠ BA

Section 7.6 Solutions of Linear Systems by Matrix Inverses

A) B) C) D)

A) B) C) D)