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Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 2 3 - 1 - 9 1 2 3 -1 -9 1 - 13 0 1 3 2 A = -3 -9 - 18 - 1 5 27 0 0 0 1 3 10 21 4 - 22 0 0 0 1 2 - 1 2 A basis for Col A is given by -3 - 1 3 10 4 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. A basis for Nul A is given by { }. (Use a comma to separate vectors as needed.)

Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 2 3 - 1 - 9 1 2 3 -1 -9 1 - 13 0 1 3 2 A = -3 -9 - 18 - 1 5 27 0 0 0 1 3 10 21 4 - 22 0 0 0 1 2 - 1 2 A basis for Col A is given by -3 - 1 3 10 4 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. A basis for Nul A is given by { }. (Use a comma to separate vectors as needed.)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 2 3 - 1 - 9 1 2 3 1 9 0 1 3 2 A = - 3 5 9. 1 13 3 5 - 9 - 18 - 1 27 0 0 0 1 3 3 10 21 4 - 22 0 0 0 ... 1 - 1 2 1 A basis for Col A is given by - 3 6. 3 10 4 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. A basis for Nul A is given by { }. (Use a comma to separate vectors as needed.) LO
Transcribed Image Text:Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 2 3 - 1 - 9 1 2 3 1 9 0 1 3 2 A = - 3 5 9. 1 13 3 5 - 9 - 18 - 1 27 0 0 0 1 3 3 10 21 4 - 22 0 0 0 ... 1 - 1 2 1 A basis for Col A is given by - 3 6. 3 10 4 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. A basis for Nul A is given by { }. (Use a comma to separate vectors as needed.) LO
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