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6) u = 3 4 A = 1 3 -1 0 -1 -3 3 3 -4 6 A) In Col A, not in Nul A C) In Col A and in Nul A B) Not in Col A, not in Nul A D) Not in Col A, in Nul A

6) u = 3 4 A = 1 3 -1 0 -1 -3 3 3 -4 6 A) In Col A, not in Nul A C) In Col A and in Nul A B) Not in Col A, not in Nul A D) Not in Col A, in Nul A

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For question 6: Determine if the vector u is in the column space of matrix A and whether it is in the null space of A

6) u = 3 4 A = 1 3 -1 0 -1 -3 3 3 -4 6 A) In Col A, not in Nul A C) In Col A and in Nul A B) Not in Col A, not in Nul A D) Not in Col A, in Nul A Solve the problem. 7) If the null space of a 5 x 7 matrix is 3-dimensional, find Rank A, Dim Row A, and Dim Col A. A) Rank A = 4, Dim Row A = 4, Dim Col A = 4 B) Rank A = 2, Dim Row A = 2, Dim Col A = 2 C) Rank A = 4, Dim Row A = 4, Dim Col A = 3 D) Rank A = 4, Dim Row A = 3, Dim Col A = 3 8) If A is a 5 x 9 matrix, what is the smallest possible dimension of Nul A? A) 5 B) 9 C) 0 D) 4
Transcribed Image Text:6) u = 3 4 A = 1 3 -1 0 -1 -3 3 3 -4 6 A) In Col A, not in Nul A C) In Col A and in Nul A B) Not in Col A, not in Nul A D) Not in Col A, in Nul A Solve the problem. 7) If the null space of a 5 x 7 matrix is 3-dimensional, find Rank A, Dim Row A, and Dim Col A. A) Rank A = 4, Dim Row A = 4, Dim Col A = 4 B) Rank A = 2, Dim Row A = 2, Dim Col A = 2 C) Rank A = 4, Dim Row A = 4, Dim Col A = 3 D) Rank A = 4, Dim Row A = 3, Dim Col A = 3 8) If A is a 5 x 9 matrix, what is the smallest possible dimension of Nul A? A) 5 B) 9 C) 0 D) 4
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