Algebra 2 Wednesday 12 3 14 Warm ups

Algebra 2 � Wednesday 12 -3 -14 Warm ups ◦ Complete Slide below � Discussion/Notes/Guided Practice Today, you will be able to: ◦ 4. 7 Identity and Inverse Matrices � n Define new vocabulary: identity matrix; inverse n Determine whether two matrices are inverses n Find the inverse of a 2 x 2 matrix Assignment: ◦ A#4. 7 page 213 #9 -21 all Chapter 4 Test Tuesday, 12/9 Success Criteria: Q&A n Guided Practice n Homework n

Prior Knowledge Self-Evaluation – Know vs. Need to Know n Define new vocabulary: identity matrix; inverse n Determine whether two matrices are inverses n Find the inverse of a 2 x 2 matrix Need to Know

Intro to Inverse Matrices

Identity Matrices Identity Matrix: a square matrix that, when multiplied by another matrix, equals that same matrix.

Inverse Matrices Symbols: Inverse of Matrix A:

Verify Inverse Matrices – Example #1 Determine whether each pair of matrices are inverses of each other.

Verify Inverse Matrices – Guided Practice Determine whether each pair of matrices are inverses of each other. Self-Evaluation - Rate each learning target: Determine whether two matrices are inverses 4 3 2 1 0

Finding Inverse Matrices You can determine whether a matrix has an inverse by looking at its determinant. If det A = 0, then the matrix cannot have an inverse.

Find Inverse Matrices – Example #2 Find the inverse of each matrix, if it exists.

Find Inverse Matrices – Guided Practice Find the inverse of each matrix, if it exists. Self-Evaluation - Rate each learning target: Find the inverse of a 2 x 2 matrix 4 3 2 1 0

Self-Evaluation - Rate each learning target: n Define new vocabulary: identity matrix; inverse 4 n 2 1 0 Determine whether two matrices are inverses 4 n 3 3 2 1 0 Find the inverse of a 2 x 2 matrix 4 3 2

Assignment: A#4. 7 Page 213 # 9 – 21 all Chapter 4 Test Tuesday, 12/9