a) Given the vectors in M22 . 1 1 2 3 31 22 1 2 21 Show that they are linearly independent. b) Find the value of a real number c, for which the vectors t+3 and 2t+ c2 +2 in P, are linearly independent.

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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Q2
a) Given the vectors in M22 .
11
23
3 1
22
1 2
21
Show that they are linearly independent.
b) Find the value of a real number c, for which the
vectors t+3 and 2t+ c2 +2 in P, are linearly
independent.
Transcribed Image Text:a) Given the vectors in M22 . 11 23 3 1 22 1 2 21 Show that they are linearly independent. b) Find the value of a real number c, for which the vectors t+3 and 2t+ c2 +2 in P, are linearly independent.
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