Let [1 5 -2 -7 A = 0 1 +1 2 an d b: h 0 2 18 h + 2 2h +90 (Substitute "h=86,58,88") 1. Can we write "b" as a linear combination of the columns of A?.Explain.? 2. Whether the given matrix A has a non-trivial solution? Explain. 3. Whether matrix A gives linearly dependent solution? if yes, then write the solution in parametric vector form. II

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let
[1 5 -2
-7
A = 0 1
-+1
2
an d b =
h
2h +90]
0 2 18
h + 2
(Substitute "h=86,58,88")
1. Can we write “b" as a linear combination of the columns of A?.Explain.?
2. Whether the given matrix A has a non-trivial solution? Explain.
3. Whether matrix A gives linearly dependent solution? if yes, then write the solution in
parametric vector form.
Transcribed Image Text:Let [1 5 -2 -7 A = 0 1 -+1 2 an d b = h 2h +90] 0 2 18 h + 2 (Substitute "h=86,58,88") 1. Can we write “b" as a linear combination of the columns of A?.Explain.? 2. Whether the given matrix A has a non-trivial solution? Explain. 3. Whether matrix A gives linearly dependent solution? if yes, then write the solution in parametric vector form.
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