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Warm-up

Warm-up. Fill out the following chart. Vocabulary. The Determinant of a 2x2 matrix is the difference of the products of the elements on the diagonals. Example:. Vocabulary. The n x n Identity matrix is a matrix with 1’s on the main diagonal and 0’s else where.

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Warm-up

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  1. Warm-up Fill out the following chart.

  2. Vocabulary • The Determinant of a 2x2 matrix is the difference of the products of the elements on the diagonals. Example:

  3. Vocabulary • The n x n Identity matrix is a matrix with 1’s on the main diagonal and 0’s else where. • If A is any n x n matrix and I is the n x n identity matrix, then AI= A. Example:

  4. Theorems • Two n x n matrices A and B are inverses of each other if their product (in both orders) is the n x n identity matrix. That is AB = I and BA = I. • An n x n matrix A has an inverse if and only if det A ≠ 0. The symbol for the inverse of A is A^-1.

  5. Finding the inverse of a 2 x 2

  6. Why do we need to find the Inverse? • Example

  7. Practice Problems • Page 64-65 1, 4, 6, 9, 12, 15, 17, 19

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