(12 Which of the following statements is FALSE? (a) Each elementary matrix is invertible. (b) Let 0 denote the zero vector in R. Then both R and (0) are subspace of R. (c) Let A, B, and C be square matrices of the same size. If AB = AC, then B= C. (d) Any set of vectors in R" containing the zero vector 0 is linearly dependent. (e) The matrix A is invertible then det(A) #0

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