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Algebra 2

Algebra 2. Before: You solved Linear Systems using Cramer’s Rule Now: ___________________________________ __________________________________________ Why ? So you can find how many batches of a recipe to make. Identity matrix.

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Algebra 2

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  1. Algebra 2 Before: You solved Linear Systems using Cramer’s Rule Now:___________________________________ __________________________________________Why? So you can find how many batches of a recipe to make

  2. Identity matrix • Identity Matrix: The n x n identity matrix with 1’s on the _________________________________ and 0’s ________________ • If A is any A x A matrix and I is the n x n identity matrix, then AI = A and IA = A • Ex: 2 x 2 Identity Matrix 3 x 3 Identity Matrix

  3. Inverse: Two n x n matrices A and B are inverses of each other if ________________________________ • That is AB = I and BA = I • The symbol for the inverse of A is A-1

  4. Example 1

  5. Example 2

  6. Example 3

  7. Guided Practice

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