Solve the problem. If the null space of a 6 x 8 matrix is 5-dimensional, find Rank A, Dim Row A, and Dim Col A. Rank A = 3, Dim Row A = 3, Dim Col A = 3 Rank A = 1, Dim Row A = 1, Dim Col A = 1 Rank A = 3, Dim Row A = 3, Dim Col A = 5 Rank A = 3, Dim Row A = 5, Dim Col A = 5
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Solve the problem. If the null space of a 6 x 8 matrix is 5-dimensional, find Rank A, Dim Row A, and Dim Col A. Rank A = 3, Dim Row A = 3, Dim Col A = 3 Rank A = 1, Dim Row
VIDEO ANSWER: By the Rank Nullity Theorem, we know that the rank of A plus the nullity of A is equal to the number of column in A. Since the null space of A is…
Jan 2, 2023
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