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 2×2 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, ...

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