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MAT3701 Assignment 4 Complete Solutions UNISA 2026 Linear Algebra III

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MAT3701 Assignment 4 Complete Solutions UNISA 2026 Linear Algebra III

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University Of South Africa (Unisa)
Course
MAT3701 Assignment 4 Complete Solutions UNISA 2026

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MAT3701
ASSIGNMENT 4
Linear Algebra III

FULL
SOLUTIONS
COMPLETE SOLUTIONS

MEMORANDUM
UNISA 2026

, Page 2 of 8




SOLUTIONS:
Question 1
Given:

1 1
𝐴=( )
1 1

1
(1.1) Verify that 𝑣1 = ( ) is an eigenvector and find its eigenvalue.
−1

Compute:

1 1 1 1(1) + 1(−1) 0 1
𝐴𝑣1 = ( )( ) = ( ) = ( ) = 0 ⋅ ( ).
1 1 −1 1(1) + 1(−1) 0 −1
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MAT3701 Assignment 4 Complete Solutions UNISA 2026

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