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1 2 -2 76. 1 0 -2 3 01 2 2 -4 10 8 0 1 0 2 0 1.A= 0 1 0 2 2 =B 0 0 0 0 1 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation Ax = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)).

1 2 -2 76. 1 0 -2 3 01 2 2 -4 10 8 0 1 0 2 0 1.A= 0 1 0 2 2 =B 0 0 0 0 1 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation Ax = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)).

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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2 -2 7 1 0 -2 3 0 2 2 -4 108 0 1 2 0 =B 0 0 0 0 1 1.A= 2 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation A x = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)). 6. 1, 1.
Transcribed Image Text:2 -2 7 1 0 -2 3 0 2 2 -4 108 0 1 2 0 =B 0 0 0 0 1 1.A= 2 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation A x = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)). 6. 1, 1.
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