Let A = 6 -9 12 -12 10 -15. Null(A) is a subspace of R*, where k = -2 3 -4 Let B = = [6 4 5 Col(A) is a subspace of R*, where k = -4 6 -8 8 [6 -4 -3]| Row(B) is a subspace of R*, where k = 9 Let C = 3 Null(B) is a subspace of R*, where k = 3 0 0 -2 0-2 9 Col(C) is a subspace of R*, where k = -2 9 3 Row(C) is a subspace of R, where k = ]] |

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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Question
-2
-4
6
3
6
-9
-4
-8
12
4
8
-12
5
10 -15
Null(A) is a subspace of R*, where k =
Let A =
Col(A) is a subspace of RK, where k =
Let B = [6 -4 -3]|
Row(B) is a subspace of RK, where k =
Null(B) is a subspace of RK, where k =
9 3 0
Let C =
e-B
3 0 -2
0 -2 9
Col(C) is a subspace of RK, where k =
-2
9
3
Row(C) is a subspace of R¹, where k =|
11
Transcribed Image Text:-2 -4 6 3 6 -9 -4 -8 12 4 8 -12 5 10 -15 Null(A) is a subspace of R*, where k = Let A = Col(A) is a subspace of RK, where k = Let B = [6 -4 -3]| Row(B) is a subspace of RK, where k = Null(B) is a subspace of RK, where k = 9 3 0 Let C = e-B 3 0 -2 0 -2 9 Col(C) is a subspace of RK, where k = -2 9 3 Row(C) is a subspace of R¹, where k =| 11
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