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[a+c] a) Let S = Find three vectors in R³ so that each vector a - b а, b - a in S can be written as a linear combination of the three vectors, Are these vectors linearly independent? Justify your answer.

[a+c] a) Let S = Find three vectors in R³ so that each vector a - b а, b - a in S can be written as a linear combination of the three vectors, Are these vectors linearly independent? Justify your answer.

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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[a+ a) Let S = bER Find three vectors in R so that each vector - a in S can be written as a linear combination of the three vectors. Are these vectors linearly independent? Justify your answer. 1 -2 1 1 Let A 1 -1 Determine whether the rows of A are 4 4 -5 -2 -4 4 -1. linearly independent. Evaluate |– 242| and 13A 11.
Transcribed Image Text:[a+ a) Let S = bER Find three vectors in R so that each vector - a in S can be written as a linear combination of the three vectors. Are these vectors linearly independent? Justify your answer. 1 -2 1 1 Let A 1 -1 Determine whether the rows of A are 4 4 -5 -2 -4 4 -1. linearly independent. Evaluate |– 242| and 13A 11.
[1 -1] [1 B = |2 3 [2 -1 Let A 3. 0 and C =|1 1 .1 1 -1. .1 -2] Lo 3 a) Eind A-1, if exists. b) If possible, find the matrix X such that AX + B = C. c) If possible, find a matrix Y such that YA +B = C.
Transcribed Image Text:[1 -1] [1 B = |2 3 [2 -1 Let A 3. 0 and C =|1 1 .1 1 -1. .1 -2] Lo 3 a) Eind A-1, if exists. b) If possible, find the matrix X such that AX + B = C. c) If possible, find a matrix Y such that YA +B = C.
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