4.3 The Inverse of a Matrix Warm-up (IN)

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Presentation transcript:

4.3 The Inverse of a Matrix Warm-up (IN) Learning Objective: to find and use the inverse and determinant of a matrix. Warm-up (IN) Find the multiplicative inverse of each number. Find each product.

Notes The Identity Property of Multiplication - 1 is the identity Learning Objective: to find and use the inverse and determinant of a matrix. Notes The Identity Property of Multiplication - 1 is the identity (what you multiply by to get itself) Identity of a square matrix - Called I 4x4 2x2 3x3 If you multiply a matrix by its inverse, you get I

Ex 1 – Determine whether A and B are inverses of each other Learning Objective: to find and use the inverse and determinant of a matrix. Ex 1 – Determine whether A and B are inverses of each other Yes they are inverses!

Not all matrices have an inverse… Learning Objective: to find and use the inverse and determinant of a matrix. Not all matrices have an inverse… To tell if it does, find the determinant. Then there is an inverse… Then there is an inverse… Ex 2 – find the determinant of the matrix and tell if it has an inverse there is an inverse…

Use Calculator to find inverses! Learning Objective: to find and use the inverse and determinant of a matrix. there is no inverse… Use Calculator to find inverses!

Out – Explain one way in which determinants can be used. Summary – I think I understand… HW – p. 239 #10-23 p. 241 #56-63 odd