12. Let A be an nxn matrix. Which of the following must be true if A is invertible? (a) The dimension of Col(A)= n. (b) The dimension of the column space is equal to the dimension of the null space. (c) The columns of A are linearly dependent.

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12. Let A be an n x n matrix. Which of the following must be true if A is invertible?
(a) The dimension of Col(A)= n.
(b) The dimension of the column space is equal to the dimension of the null space.
(c) The columns of A are linearly dependent.
Transcribed Image Text:12. Let A be an n x n matrix. Which of the following must be true if A is invertible? (a) The dimension of Col(A)= n. (b) The dimension of the column space is equal to the dimension of the null space. (c) The columns of A are linearly dependent.
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