Section 9.4 Multiplicative Inverses of Matices and Matrix Equations

The Multiplicative Identity Matrix

The Multiplicative Inverse of a Matrix

Example

A Quick Method for Finding the Multiplicative Inverse of a 2 x 2 Matrix

Example

Example

Example

Finding Multiplicative Inverses of n x n Matrices with n Greater Than 2

Example

Example

Solving Systems of Equations Using Multiplicative Inverses of Matrices

Example

Applications of Matrix Inverses to Coding

Encoding the Word MATH

Decoding a Word

Example

(a) (b) (c) (d)

(a) (b) (c) (d)