1 -1 1 Consider the matrix, A =0 1 1 3 1 1 (a) Find an...

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1 -1 1 Consider the matrix, A =0 1 1 3 1 1 (a) Find an LU factorization of the matrix A. (b)Using the adjugate of the matrix A, find A 1. (c) Construct a 3x3 matrix B with integer entries that is not triangular with det B = 1. (d)Let C be n xn matrix. Explain why if det C= 0, then columns of C form basis for R", 1 -1 1 Consider the matrix, A =0 1 1 3 1 1 (a) Find an LU factorization of the matrix A. (b)Using the adjugate of the matrix A, find A 1. (c) Construct a 3x3 matrix B with integer entries that is not triangular with det B = 1. (d)Let C be n xn matrix. Explain why if det C= 0, then columns of C form basis for R",