College Algebra, 4th Edition

Section 6.3 The Matrix Inverse

Before Starting this Section, Review

1. 1 Matrix multiplication (Section 6.2 , page 610)

2. 2 Equality of matrices (Section 6.2 , page 606)

3. 3 Gauss–Jordan elimination procedure (Section 6.1 , page 597)

4. 4 Leontieff input–output model (Section 6.1 , page 599)

Objectives

1. 1 Verify the multiplicative inverse of a matrix.

2. 2 Find the inverse of a matrix.

3. 3 Find the inverse of a $2\times 2$ matrix.

4. 4 Use matrix inverses to solve systems of linear equations.

5. 5 Use matrix inverses in applied problems.

Coding and Decoding Messages

Imagine you are a secret agent who is looking for spies in different parts of the world. Periodically, ...