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Determine if vector b is a linear combination of the vectors formed from the columns of matrix A and write it as that linear combination. 10] 2 A = 0 3 -4-20 1, b:

Determine if vector b is a linear combination of the vectors formed from the columns of matrix A and write it as that linear combination. 10] 2 A = 0 3 -4-20 1, b:

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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Determine if vector b is a linear combination of the vectors formed from the columns of matrix A and write it as that linear combination. 1 0 3 2 A = 0 1, b = -4-2 0 Find the general solution of the system for variables X₁, X2, X3 whose augmented matrix is -2 -1 3 v¹. -8 -3 10 in terms of one or more parameters - if necessary. What are the free variables? 0 For what values of h is y in the plane generated by v¹,v²? h = 8 , y = -3
Transcribed Image Text:Determine if vector b is a linear combination of the vectors formed from the columns of matrix A and write it as that linear combination. 1 0 3 2 A = 0 1, b = -4-2 0 Find the general solution of the system for variables X₁, X2, X3 whose augmented matrix is -2 -1 3 v¹. -8 -3 10 in terms of one or more parameters - if necessary. What are the free variables? 0 For what values of h is y in the plane generated by v¹,v²? h = 8 , y = -3
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