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12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000

12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000

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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12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000
Transcribed Image Text:12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000
Suppose W is a 4-dimensional vector space. Assume the set B = {V1, V2, V3, V4} is a basis of W. Which of the following statements are always true? Statement A: The subset {V1, V2, V3} of B is a linearly independent set. Statement B: The set (v1, V2, V3} spans W. Select one alternative: A only Both A and B B only Neither A nor B
Transcribed Image Text:Suppose W is a 4-dimensional vector space. Assume the set B = {V1, V2, V3, V4} is a basis of W. Which of the following statements are always true? Statement A: The subset {V1, V2, V3} of B is a linearly independent set. Statement B: The set (v1, V2, V3} spans W. Select one alternative: A only Both A and B B only Neither A nor B
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