13.3 Product of a Scalar and a Matrix.  In matrix algebra, a real number is often called a.  To multiply a matrix by a scalar, you multiply each entry.

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Presentation transcript:

13.3 Product of a Scalar and a Matrix

 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

 Use matrix A to find the following. 1.2.

 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

 Solve for matrix X. Let and 3.

 Solve for matrix X. Let and 4.

 Solve for matrix X. Let and 5.

 Solve for matrix X. Let and 6.