Can you help me with this problem. Can the vector [1 2 ] be written as a linear combination of the vectors [2 -3 ] and [ - 4 6]? Explicitly write down all such linear combinations when they exist.   Can you do this the matrices way: this is the answer : No. the system x[ -2 3] + y[-4 6] = [1 2] , is not consistent. The vectors [ 2 -3] and [ -4 6] are parallel, but [ 1 2] is not parallel to either of them.   Can you solve this problem to get me to that answer that I give you

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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Can you help me with this problem.

Can the vector [1 2 ] be written as a linear combination of the vectors [2 -3 ] and

[ - 4 6]? Explicitly write down all such linear combinations when they exist.

 

Can you do this the matrices way:

this is the answer : No. the system x[ -2 3] + y[-4 6] = [1 2] , is not consistent. The vectors [ 2 -3] and [ -4 6] are parallel, but [ 1 2] is not parallel to either of them.

 

Can you solve this problem to get me to that answer that I give you

 

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