Question: Consider the following matrix: 5 2 1 B = 2 2 2 21 1 a) Compute det( B) by cofactor expansion. b) Is B invertible?

Consider the following matrix: 5 2 1 B = 2 2 2 21 1 a) Compute det( B) by cofactor expansion. b) Is B invertible? Justify. c) Use the adjoint method to find B d) How many solutions does the linear system BY = A have? e) Solve BX = 0. f) Solve BX = A with A = (1, 2, 3)'. Verify that you have found the correct solution(s)

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