1. 13.3 Product of a Scalar and a Matrix

2.  In matrix algebra, a real number is often called a.  To multiply a matrix by a scalar, you multiply each entry in the matrix by the scalar. This process is called multiplication. scalar

3.  Use matrix A to find the following. 1.2.

4.  Properties of Scalars: Let A and B be matrices and c and d be scalars  1. Closure Property:  2.Associative Property:  3.Distributive Property: or  4.Identity Property:  5.Multiplicative Property of -1:  6.Zero Properties: or

5.  Solve for matrix X. Let and 3.

6.  Solve for matrix X. Let and 4.

7.  Solve for matrix X. Let and 5.

8.  Solve for matrix X. Let and 6.