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MATH1850 Midterm 1
October, 2011
2
1. (3 marks each; total 12 marks)
Answer each of the following questions in the space
provided.
a)
Solve the linear system associated with the given augmented matrix.
6
1
0
0
0
2
0
0
1
0
1
4
2
5
1
b)
Given
1
2
8
5
A
and
0
6
3
4
B
, verify that
BA
AB
.
c)
Given that
1
0
1
2
A
and
3
2
5
6
B
, find the matrix
X
such that
B
AX
.
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View Full Document MATH1850 Midterm 1
October, 2011
3
d)
Consider the chemical reaction
O
H
x
C
x
O
x
H
C
x
2
4
3
2
2
6
6
1
.
Set up, in
matrix form
, the system of equations that you would need to solve to determine
the values of
4
3
2
1
,
,
,
x
x
x
x
to balance the equation.
Set up only; do not solve!
2. (4 marks)
Given the system
b
x
A
with
3
1
2
5
A
and
9
4
b
, use
Cramer’s Rule to solve the system.
You must use Cramer’s Rule…other methods will
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This note was uploaded on 02/25/2012 for the course MATH 1850 taught by Professor Mihaibeligan during the Fall '09 term at UOIT.
 Fall '09
 MihaiBeligan
 Math, Linear Algebra, Algebra

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