3. (a) Let L2x2 denote vector space of all 2 x 2 lower triangular real matrices. 0 Determine if B = {[23][21][22]} forms a basis for L2x2. (b) Let U2x2 denote vector space of all 2 x 2 upper triangular real matrices. Determine if B = forms a basis for U2x2- (319) 2 -2 0
3. (a) Let L2x2 denote vector space of all 2 x 2 lower triangular real matrices. 0 Determine if B = {[23][21][22]} forms a basis for L2x2. (b) Let U2x2 denote vector space of all 2 x 2 upper triangular real matrices. Determine if B = forms a basis for U2x2- (319) 2 -2 0
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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![3. (a) Let L2x2 denote vector space of all 2 x 2 lower triangular real matrices.
forms a basis for L2x2.
Determine if B =
-{[12²21²2]}
(b) Let U2x2 denote vector space of all 2 x 2 upper triangular real matrices.
forms a basis for U2x2-
[1 2] [2
Determine if B
= {6 3·1·[39]}
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0f41d2-a7c1-4115-9c9b-e2cbddd8fb40%2F255874bb-f75b-4ec0-8aa8-0a378a6c19c9%2Ft0ywrsa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. (a) Let L2x2 denote vector space of all 2 x 2 lower triangular real matrices.
forms a basis for L2x2.
Determine if B =
-{[12²21²2]}
(b) Let U2x2 denote vector space of all 2 x 2 upper triangular real matrices.
forms a basis for U2x2-
[1 2] [2
Determine if B
= {6 3·1·[39]}
0
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