 
Summary: MATH10212
Two and a half hours
THE UNIVERSITY OF MANCHESTER
MATH10212 Linear Algebra
2 June 2010
9:30 12:00
Answer ALL Questions in Section A
and Two Questions in Section B
The use of electronic calculators is NOT permitted
Formula Tables NOT To Be Used
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MATH10212
Section A: Answer all questions
6 marksA.1 Without solving the following systems of linear equations, determine whether
they have infinitely many solutions, no solution, or exactly one solution. Justify your
answer.
(i)
x1 + x2 + x3 + x4 = 0
x2 + x3 + x4 = 0
x3 + x4 = 0
