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In: Advanced Math

Given the matrix with rows [1,1,k 1] [1,k,1 1] [k,1,1 -2] Find the reduced row echelon...

Given the matrix with rows

[1,1,k 1]

[1,k,1 1]

[k,1,1 -2]

Find the reduced row echelon form of M, and explain how it depends on k. (b) Consider the linear system Ax = b for which the augmented matrix is A b = M. i. For what values of k is the system inconsistent? ii. For what values of k does the system have a unique solution?

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