2 1 -5] A B = C = D = [0 -5] 5 of the vector space V = 318 a, b, c e R} of 2 x 2 upper triangular matrices. (a) Pick three elements from A, B,C, D so that they form a basis for V.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question below:

Consider the elements
2
5
A:
B =
0
C =
D
-
-5
-5
{{: )
of the vector space V =
36 la, b, c €R of 2 x 2 upper triangular matrices.
(a) Pick three elements from A, B,C, D so that they form a basis for V.
Transcribed Image Text:Consider the elements 2 5 A: B = 0 C = D - -5 -5 {{: ) of the vector space V = 36 la, b, c €R of 2 x 2 upper triangular matrices. (a) Pick three elements from A, B,C, D so that they form a basis for V.
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