b) Consider the following matrices: Solution: M₁ = [1 −7], M₂ = [1 2], M₁ = (1 1]. A = [23], B= [13 =]] Determine if A is in the set Span{M1, M2, M3}. How about the matrix B? Is B in Span{M1, M2, M3}? Provide detailed justifications.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 6CR
Question
b) Consider the following matrices:
Solution:
M₁ = [1 −7], M₂ = [1 2], M₁ = (1 1]. A = [23], B= [13 =]]
Determine if A is in the set Span{M1, M2, M3}. How about the matrix B? Is B in
Span{M1, M2, M3}? Provide detailed justifications.
Transcribed Image Text:b) Consider the following matrices: Solution: M₁ = [1 −7], M₂ = [1 2], M₁ = (1 1]. A = [23], B= [13 =]] Determine if A is in the set Span{M1, M2, M3}. How about the matrix B? Is B in Span{M1, M2, M3}? Provide detailed justifications.
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