By obtaining the order of the largest square submatrix with non-zero determinant, determine the rank of the

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By obtaining the order of the largest square submatrix with non-zero determinant, determine the rank of the matrix

A = [1 1 0 1] 1 0 0 1 0100 1 1 1 1

Reduce the matrix to echelon form and confirm your result. Check the rank of the augmented matrix (A : b), where bT = [–1 0 –1 0]. Does the equation AX = b have a solution?

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