1. Give example of coefficient matrices A given in row echelon or reduced row echelon form , that satisfy the following conditions or explain why it is not possible. Explain why your choice satisfies the conditions. (You do not have to do any row operations, just give the matrices in the already reduced form) (a) A is a 4 x 3 matrix where the columns form a linearly independent set. (b) A is a 3 x 3 matrix where the columns form a linearly dependent set. Give a possible linear dependence relation for the columns.

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