Oppgåve 1. we have to linear transformations T: R³ R², S: R²→R³ where T is given by matrix A and S by matrix B: 1 2 B = -5 0 3 - ^= [2²3] A 1 a) Find product of the matrcies AB and BA. 3 B b) Find x = T( ), and y = S(x). c) Let R be the combined linear transformation: R=SOT: R³ R³. What is the matrix C to R?

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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Oppgåve 1.
we have to linear transformations
T: R³ R², S: R²→R³
where T is given by matrix A and S by matrix B:
1 2
B = -5 0
3
b) Find x = T(
A =
a) Find product of the matrcies AB and BA.
3
B
d) Find R(
[12
2 1 3
-
give a short-
explanation.
c) Let R be the combined linear
transformation:
), and y = S(x).
R=SOT: R³ R³.
What is the matrix C to R?
3
1) by using the matrix C to R. compsre with b) and
1
Transcribed Image Text:Oppgåve 1. we have to linear transformations T: R³ R², S: R²→R³ where T is given by matrix A and S by matrix B: 1 2 B = -5 0 3 b) Find x = T( A = a) Find product of the matrcies AB and BA. 3 B d) Find R( [12 2 1 3 - give a short- explanation. c) Let R be the combined linear transformation: ), and y = S(x). R=SOT: R³ R³. What is the matrix C to R? 3 1) by using the matrix C to R. compsre with b) and 1
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