Consider a matrix A with dimensions m x n, where m < n. Prove that the columns of A are linearly dependent.

Part B: Let A be a square matrix with dimensions n x n. If A is invertible, prove that the determinant of A is not equal to zero.

Part C: Let A be a square matrix with dimensions n x n. Prove that if the determinant of A is zero, then A is not invertible

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The detailed answer for the above question is provided below Part ATo prove that the columns of A are linearly dependent we can use the fact that if a ... View the full answer