Alg2 lesson 4-7
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The document discusses identity matrices and inverse matrices. It provides examples of determining whether two matrices are inverses by checking if their product equals the identity matrix. It also shows how to find the inverse of a matrix by calculating the determinant, and that the inverse does not exist if the determinant is 0.
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Alg2 lesson 4-7
- 2. 2x2 Identity Matrix3x3 Identity Matrix
- 3. Two matrices are inverses if their product is equal to the identity matrix.
- 4. Determine whether X and Y are inverses.X and Y are inverses.Example 7-1a
- 5. Determine whether P and Q are inverses.Since P • Q I,they are not inverses.Example 7-1c
- 6. How do you find the inverse of a matrix?
- 7. Find the inverse of the matrix , if it exists.Det S = -1(-2) - 8(0) = 2Det S-202-18Det SExample 7-2a
- 9. Find the inverse of the matrix, if it exists.Find the value of the determinant.Answer: Since the determinant equals 0, T–1 does not exist.Example 7-2d
- 10. Find the inverse of each matrix, if it exists.a.b.Answer: No inverse exists.Example 7-2e