Consider the vector space M consisting of all matrices of the form b } a c 3a +4b-3c where a, b, and c are

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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Consider the vector space M consisting of
all matrices of the form
b
a
c 3a + 4b-3c
M.
A₁
-3
.]
any real numbers.
Determine whether the matrix
29
5
A 3
where a, b, and c are
4
122 belongs to the vector space
5
Determine whether the matrices
1 1
1]
and
= [0₂7] 4^₂ = [ 10 ]- T
[8]
0 1
=
span the vector space M.
Transcribed Image Text:Questior Consider the vector space M consisting of all matrices of the form b a c 3a + 4b-3c M. A₁ -3 .] any real numbers. Determine whether the matrix 29 5 A 3 where a, b, and c are 4 122 belongs to the vector space 5 Determine whether the matrices 1 1 1] and = [0₂7] 4^₂ = [ 10 ]- T [8] 0 1 = span the vector space M.
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