MAT2611 Assignment 5 Semester 2 2026 - Due 28 August 2026

MAT2611 Assignment 5 Semester 2 2026 – Due 28 August 2026

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MAT2611 Assignment 5 2026
ASSIGNMENT 05
Due date: Friday, 28 August 2026
Problem 1. Suppose S =
f
v1; v2
g
is a basis of R
2
; where v1 = (

1; 2) and v2
= (2;

3).
2
3
Let T : R
!
R
be the linear operator for which
T (v1) = (1;

2; 1) and T (v2
) = (0;

1; 3) :
Find a formula for T (x; y) ; and use that formula to …nd T (2;

1).
Problem 1
Given:
S = {v₁, v₂} is a basis of ℝ², where v₁ = (-1, 2) and v₂ = (2, -3).
T: ℝ² → ℝ³ is a linear operator for which:
T(v₁) = (1, -2, 1) and T(v₂) = (0, -1, 3)
Find a formula for T(x, y), and use that formula to find T(2, -1).
Solution:

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Description

MAT2611 Assignment 5 2026
ASSIGNMENT 05
Due date: Friday, 28 August 2026
Problem 1. Suppose S =
f
v1; v2
g
is a basis of R
2
; where v1 = (

1; 2) and v2
= (2;

3).
2
3
Let T : R
!
R
be the linear operator for which
T (v1) = (1;

2; 1) and T (v2
) = (0;

1; 3) :
Find a formula for T (x; y) ; and use that formula to …nd T (2;

1).
Problem 1
Given:
S = {v₁, v₂} is a basis of ℝ², where v₁ = (-1, 2) and v₂ = (2, -3).
T: ℝ² → ℝ³ is a linear operator for which:
T(v₁) = (1, -2, 1) and T(v₂) = (0, -1, 3)
Find a formula for T(x, y), and use that formula to find T(2, -1).
Solution:

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Description

MAT2611 Assignment 5 2026
ASSIGNMENT 05
Due date: Friday, 28 August 2026
Problem 1. Suppose S =
f
v1; v2
g
is a basis of R
2
; where v1 = (

1; 2) and v2
= (2;

3).
2
3
Let T : R
!
R
be the linear operator for which
T (v1) = (1;

2; 1) and T (v2
) = (0;

1; 3) :
Find a formula for T (x; y) ; and use that formula to …nd T (2;

1).
Problem 1
Given:
S = {v₁, v₂} is a basis of ℝ², where v₁ = (-1, 2) and v₂ = (2, -3).
T: ℝ² → ℝ³ is a linear operator for which:
T(v₁) = (1, -2, 1) and T(v₂) = (0, -1, 3)
Find a formula for T(x, y), and use that formula to find T(2, -1).
Solution:

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