Question: 2 00 0 16. (23) Let the inverse matrix A -1 0 2 1 0 1 = B, where B = det(A) 0 4

2 00 0 16. (23) Let the inverse matrix A -1 0

2 00 0 16. (23) Let the inverse matrix A -1 0 2 1 0 1 = B, where B = det(A) 0 4 3 2 0 -2 -1 2 (1) Use the determinant to show that the matrix B is non-singular. (2) Find the matrix B, using Gauss-Jordan Ellimination. (3) Find the matrix A.

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