Table of Contents Matrices - Inverse of a 2  2 Matrix To find the inverse of a 2  2 matrix, use the following pattern. Let matrix A be given by... Then.

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Presentation transcript:

Table of Contents Matrices - Inverse of a 2  2 Matrix To find the inverse of a 2  2 matrix, use the following pattern. Let matrix A be given by... Then the inverse of A is given by...

Table of Contents Slide 2 Matrices - Inverse of a 2  2 Matrix Example 1: Find the inverse of matrix A where... Switch entries. Negative of each entry.

Table of Contents Slide 3 Matrices - Inverse of a 2  2 Matrix As a check, multiply A and A Since the result of the product is the identity matrix, the matrices are inverses.

Table of Contents Slide 4 Matrices - Inverse of a 2  2 Matrix Example 2: Find the inverse of matrix B where... But this is impossible since the denominator is zero! Thus, B -1 does not exist.

Table of Contents Matrices - Inverse of a 2  2 Matrix