Exercise 9.2.4 (a) Write A = 1 3 00 as a linear combination of 0 1 0 (49) 83 69- [(88) [ 1 1 0 1 (b) Show that the above set of four matrices is a spanning set for M2,2, the vector space of all 2 × 2- matrices.
Exercise 9.2.4 (a) Write A = 1 3 00 as a linear combination of 0 1 0 (49) 83 69- [(88) [ 1 1 0 1 (b) Show that the above set of four matrices is a spanning set for M2,2, the vector space of all 2 × 2- matrices.
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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![Exercise 9.2.4
(a) Write A
=
[13]
as a linear combination of
0
1
{[12] [93] [9] [8}]}
1
9
(b) Show that the above set of four matrices is a spanning set for M2,2, the vector space of all 2 × 2-
matrices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30d736a0-0fd2-42fc-9587-9f00ec4aa8ce%2Fc762a88d-e7db-4d30-9754-c42f8d2b7264%2Fyncvdw7_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 9.2.4
(a) Write A
=
[13]
as a linear combination of
0
1
{[12] [93] [9] [8}]}
1
9
(b) Show that the above set of four matrices is a spanning set for M2,2, the vector space of all 2 × 2-
matrices.
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