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Midterm

# Test 1 Review.pdf

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York University

Mathematics and Statistics

MATH 1025

Hans Joshi

Fall

Description

York University
Faculty of Arts, Faculty of Science
Math 1025
Class Test 1
NAME (print):
(Family) (Given)
SIGNATURE:
STUDENT NUMBER:
Instructions:
Question Points Marks
1. Time allowed: 50 minutes 1 13
2 7
2. There are 5 questions on 5 pages.
3 7
3. Answer all questions. 4 7
5 6
4. Your work must justify the answer you give.
Total 40
5. No calculators or other aids permitted. Page 1
MATH 1025 Test 1 January 24, 2005
1. (a) (8 points) Find all solutions to
x 1 3x −22x + 3x 4 = 4
2x 1 6x −23x + 32x 4 = 9
3x 1 9x −27x + 33x 4 = 11 .
(b) (2 points) Is there a solution with2x = 1 and x4= 0? Find one or explain why not.
(c) (3 points) Is there a solution with3x = 0 and x4= 1? Find one or explain why not. Page 2
MATH 1025 Test 1 January 24, 2005
2. (a) (4 points) Find the row echelon form of
1 3 2 3
2 1 5 1
5 5 12 k.
(b) (3 points) For which v

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