MAT3700 Assignment 3 2025 | 100% Complete Answers

MAT3700
ASSIGNMENT 3 2025

UNIQUE NO.
DUE DATE: 2025

, lOMoARcPSD|21997160




MAT3700
Assignment 3 2025


This assignment covers.
STUDYGUIDES Content TEXT BOOK
th
Module 5 Gauss Elimination 8 edition Chapter 25.4 and 25.5
Unit 1 and Unit 2 Eigenvalues and eigenvectors 9th edition Chapter 21.4 and 21.6

This assignment contributes 10% to your year mark.

Answer all questions.
Your answers must show your own reasoning.
Pay attention to only answer what is asked.
All answers must be handwritten and scanned.
No typed solutions will be accepted.



QUESTION 1

3 6 
If B    , find the eigenvalues of B. (5)
1 4
QUESTION 2

3 2 2 
If A  0 2 1 , find an eigenvector corresponding to the eigenvalue   2 . (5)
 
0 0 4

QUESTION 3

1 2 0 
Find the eigenvalues of A   1 2 1 and an eigenvector corresponding to  0 . (10)
0 0 4 



QUESTION 4

Solve the following system of linear equations by Gaussian elimination:
4 x1  6 x2  x3  2  R1
2 x1  x2  4 x3  3  R2 (10)
3 x1  2 x2  5 x3  8  R3

TOTAL: 30




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