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Using MATLAB!!! Consider the following 6 times 6 matrix A = (1 0 1 -2 -4 7 -2 1 0 1 1 -5 3 -2

Using MATLAB!!! image text in transcribed
Consider the following 6 times 6 matrix A = (1 0 1 -2 -4 7 -2 1 0 1 1 -5 3 -2 -3 -1 3 -3 -2 -1 2 0 -5 2 -1 5 1 3 2 5 -2 1 2 2 5 -4) (a) Use rref to find the solution to the homogeneous problem, Ax = 0 (b) Consider the 6 row vectors that make up the matrix, can you write the sixth row as a linear combination of the first 5 rows? (c) Determine the solution to Ax = b (if a solution exists) for the following values of b: b = (1 1 2 -2 -1 7) b = (2 1 2 -2 -1 7) b = (1 -3 1 -2 0 0) (d) Is there a way to determine the form of b's which allow for solutions

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