Linear Algebra 2
University of South Africa (Unisa)
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MAT2611 Assignment 10 2025 - Due 22 August 2025
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5.0(1)5.066August 20252025/2026A+
- MAT2611 
ASSIGNMENT 10 
Due date: Friday, 22 August 2025 
Problem 1. Find (T3 
T1) (x; y) ; where 
T1 (x; y) = (4x; x 
 
y; 2x 
 
y) ; 
T2 (x; y; z) = ( 
 
x; 0; x + 2y + z) ; 
T 
 
T2 
 
3 (x; y; z) = (2x + y 
 
z; 2y + 3z) : 
1. Composition of linear transformations 
, 
(T 
 
∘3 T 
 
∘2 T 
 
)(x, y) = 
T 
 
(T 
 
(T 
 
(x, y))) 
, i.e. apply 
T 
 first, then , then 
1 
. We 
3 2 1 
proceed step by step: 
 
T 
1 
 
T 
2 
 
3 
T 
 
1 T 
 
(x, y) = 
(4x, x − y, 2x − y) 
App...
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