3 Consider the basis B of R2 given by v1 2 3 (a) Find the B-coordinates []B of the vector x = -2 | (b) Let T : R² → R² be the linear transformation defined by th -5 8 standard matrix A = Find the B-matrix for T. -3 5

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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1
3
Consider the basis B of R? given by v1
1
2
(a) Find the B-coordinates R of the vector a =
2
R2 be the linear transformation defined by the
-5 8
(b) Let T : R² →
standard matrix A =
Find the B-matrix for T.
-3 5.
Transcribed Image Text:1 3 Consider the basis B of R? given by v1 1 2 (a) Find the B-coordinates R of the vector a = 2 R2 be the linear transformation defined by the -5 8 (b) Let T : R² → standard matrix A = Find the B-matrix for T. -3 5.
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