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Midterm

# MATH 1025 Study Guide - Midterm Guide: Linear Combination, Elementary Matrix, Linear MapExam

Department
Mathematics and Statistics
Course Code
MATH 1025
Professor
All
Study Guide
Midterm

This preview shows pages 1-3. to view the full 10 pages of the document.
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1!
York University
Department of Mathematics and Statistics
Faculty of Science
MATH 1021 Linear Algebra I
Final Examination
NAME:_____________________________________________________
(Family) (Given)
SIGNATURE:_______________________________________________
STUDENT NUMBER:________________________________________
Please indicate you section: Section A (Weiss)
Section B (Poliakov)
Instructions:
1. Duration 120 minutes.
2. NO CALCULATORS OR OTHER AIDS PERMITTED.
5. Use back of the pages for any scrap work..
6. There are 9 questions. Total number of pages is 11.
Question
Points
Marks
1
12
2
10
3
12
4
12
5
12
6
10
7
10
8
10
9
12
Total
100

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

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2!
Question 1 [12 points]
Solve the following system of equations. Find a set of basic solutions and express the general
solution as a linear combination of these basic solutions.
023
063
0862
4321
4321
4321
=++
=+
=+
xxxx
xxxx
xxxx

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

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3!
Question 2 [10 points]
Given that
a b c
d e f
g h 1
=3
, find
using the property of determinants
in terms of elementary row operations.