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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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Question 2
Consider the vector space M consisting of all
matrices of the form
b
c-a-5b+2c
a
a)
b)
real numbers.
Determine whether the matrix
-3-7
-6 26
-3 -7
-6 26
where a, b, and c are any
belongs to the vector space M.
Determine whether the matrix
belongs to the span of the matrices
-[11]
1
0 -6
01
A
=
43 - [8 ]
1-3
2
and
Transcribed Image Text:Question 2 Consider the vector space M consisting of all matrices of the form b c-a-5b+2c a a) b) real numbers. Determine whether the matrix -3-7 -6 26 -3 -7 -6 26 where a, b, and c are any belongs to the vector space M. Determine whether the matrix belongs to the span of the matrices -[11] 1 0 -6 01 A = 43 - [8 ] 1-3 2 and
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