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1 1 -3 5: Write the vector b = 1 as a linear combination of the columns of the matrix A = -1 or explain why it is not possible. If 2 -9 there are multiple ways to do this, give a general solution describing all of them.

1 1 -3 5: Write the vector b = 1 as a linear combination of the columns of the matrix A = -1 or explain why it is not possible. If 2 -9 there are multiple ways to do this, give a general solution describing all of them.

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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1 1 -3 5: Write the vector b = 1 as a linear combination of the columns of the matrix A = -1 2 or explain why it is not possible. If 2 2 -9 there are multiple ways to do this, give a general solution describing all of them. -8 -5 6: Write the vector w = as a linear combination of the columns of the matrix B = 1 1 -1 or explain why it is not 8 -2 possible. If there are multiple ways to do this, give a general solution describing all of them. 7: Based on your results to #5 and #6, what are rank (A) and rank (B) for the matrices in those questions?
Transcribed Image Text:1 1 -3 5: Write the vector b = 1 as a linear combination of the columns of the matrix A = -1 2 or explain why it is not possible. If 2 2 -9 there are multiple ways to do this, give a general solution describing all of them. -8 -5 6: Write the vector w = as a linear combination of the columns of the matrix B = 1 1 -1 or explain why it is not 8 -2 possible. If there are multiple ways to do this, give a general solution describing all of them. 7: Based on your results to #5 and #6, what are rank (A) and rank (B) for the matrices in those questions?
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