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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. A = 1 2 3 7 -3-12-24 13 4 -1 -7 12 0 -8 2 23 28 0 - 17 3 1 3 4 -1 -7 0 14 2 6 000 1 4 000 0 0

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. A = 1 2 3 7 -3-12-24 13 4 -1 -7 12 0 -8 2 23 28 0 - 17 3 1 3 4 -1 -7 0 14 2 6 000 1 4 000 0 0

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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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. A = 1 4 -1 -7 2 12 0 - 8 -3 -12 -24 2 23 3 13 28 0 - 17 3 7 A basis for Col A is given by 1 2 IN 1 3 4 -1 -7 014 2 6 000 1 4 000 0 0 3 7 - 12 2 2 - 3 3 13 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. N A basis for Nul A is given by - (Use a comma to separate vectors as needed.) -1 0 2 0
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. A = 1 4 -1 -7 2 12 0 - 8 -3 -12 -24 2 23 3 13 28 0 - 17 3 7 A basis for Col A is given by 1 2 IN 1 3 4 -1 -7 014 2 6 000 1 4 000 0 0 3 7 - 12 2 2 - 3 3 13 (Use a comma to separate vectors as needed.) The dimension of Col A is 3. N A basis for Nul A is given by - (Use a comma to separate vectors as needed.) -1 0 2 0
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