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en matrix A, find k such that Nul A is a subspace of rk and find m such that Col A is a subspace of m . 1 -2 0 6 -4 5 -1 -3 3-5 A = A) k= 5, m = 5 B) K = 5, m = 2 C) k = 2, m = 2 D) k = 2, m = 5 3)

en matrix A, find k such that Nul A is a subspace of rk and find m such that Col A is a subspace of m . 1 -2 0 6 -4 5 -1 -3 3-5 A = A) k= 5, m = 5 B) K = 5, m = 2 C) k = 2, m = 2 D) k = 2, m = 5 3)

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 the given matrix A, find k such that Nul A is a subspace of rk and find m such that Col A is a subspace of êm. 1 -2 0 6 -4 5 -1 -3 3-5 3) A = A) k = 5, m = 5 4) A = A) k= 3, m = 3 4 0 0 -1 1 2 6 -5 -1 -3 -4 4 -5 5) u = -7] 0 3 5 -3 B) k = 5, m = 2 A) In Col A and in Nul A C) Not in Col A, in Nul A B) k = 6, m = 3 C) k = 2, m = 2 C) k = 3, m = 6 D) k = 2, m = 5 Determine if the vector u is in the column space of matrix A and whether it is in the null space of A. -2 1 -3 -5, A=-1 0 -5 -2 3 -3 6 D) k = 6, m = 6 B) In Col A, not in Nul A D) Not in Col A, not in Nul A 3) 4) 5)
Transcribed Image Text:For the given matrix A, find k such that Nul A is a subspace of rk and find m such that Col A is a subspace of êm. 1 -2 0 6 -4 5 -1 -3 3-5 3) A = A) k = 5, m = 5 4) A = A) k= 3, m = 3 4 0 0 -1 1 2 6 -5 -1 -3 -4 4 -5 5) u = -7] 0 3 5 -3 B) k = 5, m = 2 A) In Col A and in Nul A C) Not in Col A, in Nul A B) k = 6, m = 3 C) k = 2, m = 2 C) k = 3, m = 6 D) k = 2, m = 5 Determine if the vector u is in the column space of matrix A and whether it is in the null space of A. -2 1 -3 -5, A=-1 0 -5 -2 3 -3 6 D) k = 6, m = 6 B) In Col A, not in Nul A D) Not in Col A, not in Nul A 3) 4) 5)
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