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Note that the first two columns of B are the same as those of A, while the third column of B is the sum of its first two columns. (a) Explain why Col(B) = Col(A). (b) Determine the rank of B. (c) Determine the rank of ATB.

Note that the first two columns of B are the same as those of A, while the third column of B is the sum of its first two columns. (a) Explain why Col(B) = Col(A). (b) Determine the rank of B. (c) Determine the rank of ATB.

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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Note that the first two columns of B are the same as those of A, while the third column of B is the sum of its first two columns.

(a) Explain why Col(B) = Col(A).

(b) Determine the rank of B.

(c) Determine the rank of ATB.

1-1 2 1 1 1-1 1 and B = 1 3 Let A = 1 1 2 0 -1 -1 -1
Transcribed Image Text:1-1 2 1 1 1-1 1 and B = 1 3 Let A = 1 1 2 0 -1 -1 -1
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