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Professor Jason Levy, University of Ottawa, MAT 1332C, Winter 2011
Assignment 5, due Wednesday March 16, 8:30am at the beginning of class.
Late assignments will not be accepted; nor will unstapled assignments.
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1. For the system of linear equations
x
+ 3
y
+
9
z
= 3
2
x
+ 7
y
+ 23
z
= 2
x
+
ay
+
a
2
z
=
a
(a) determine the values of
a
for which the system has
(i) no solution,
(ii) inﬁnitely many solutions,
(iii) a unique solution.
(b) In case (ii) above describe all solutions.
(c) If
a
= 1 ﬁnd the inverse of the matrix
A
=
1 3
9
2 7 23
1
a a
2
2. Your doctor has asked you to take 5 units of vitamin A, 13 units of vitamin B and
23 units of vitamin C every day. There are three brands available in your local
pharmacy which contain the following units of vitamins A, B, C as indicated.
vitamin A vitamin B vitamin C
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 Winter '07
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