Given the matrix A and the vectors X and b such that: 中 [1-1 15 X2 24 3 13 x=x, and b: b, b. A = 4 3-3 1 4 [7 9 -24 7 22 X4. a) Find a basis of the null-space of A. b) If b-[163 93 29 86], find all the solutions of the equation Ax b. c) If b-[0 4 7 8. does the equation Ax b have solutions? Justify your answer. d) If b [b b, b, b.]. find the relationship between b. b,. b, and b, such that the equation Ax = b is solvable.

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

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A: The solution is given as

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A: We find required matrix.

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A: A basis for a vector space is  a sequence of vectors with two properties The basis vectors are…

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