1. Let A = 0 1 3 -1 0 1 -1 27 (a) Find a basis...

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1. Let A = 0 1 3 -1 0 1 -1 27 (a) Find a basis for the row space of the matrix A. (b) Find a basis for the column space of the matrix A. (c) Find a basis for the null space of the matrix A. (Recall that the null space of A is the solution space of the homogeneous linear system A = 0.) (d) Determine if each of the vectors = [1 space of A. A. 1 1] and = [2 1 1] is in the row (e) Determine if each of the vectors a = 1 and 6: = 1 is in the column space of 1. Let A = 0 1 3 -1 0 1 -1 27 (a) Find a basis for the row space of the matrix A. (b) Find a basis for the column space of the matrix A. (c) Find a basis for the null space of the matrix A. (Recall that the null space of A is the solution space of the homogeneous linear system A = 0.) (d) Determine if each of the vectors = [1 space of A. A. 1 1] and = [2 1 1] is in the row (e) Determine if each of the vectors a = 1 and 6: = 1 is in the column space of