example 3 find the inverse of a 3 × 3 matrix use a graphing calculator to find the inverse of a....
TRANSCRIPT
EXAMPLE 3 Find the inverse of a 3 × 3 matrix
Use a graphing calculator to find the inverse of A.Then use the calculator to verify your result.
2 1 – 2
5 3 0
4 3 8
A =
SOLUTION
Enter matrix A into a graphing calculator and calculate A–1. Then compute AA–1and A–1A to verify that you obtain the 3 × 3 identity matrix.
EXAMPLE 3 Find the inverse of a 3 × 3 matrix
GUIDED PRACTICE for Example 3
5. 2 –2 0
2 0 –2
12 –4 –6
A =
Use a graphing calculator to find the inverse of the matrix A. Check the result by showing that AA-1= I and A-1A = I.
GUIDED PRACTICE for Example 3
6. – 3 4 5
1 5 0
5 2 2
A =
7. 2 1 – 2
5 3 0
4 3 8
A =