Math 205a Quiz Worksheet - 2008
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1Math 205A
Quiz 06 page 1
February 29, 2008
NAME
a b c
a b c
and suppose
1. Let A =
d e f
d e f
= 5.
g h
i
g h
i
Find each of the following and write your final answer in the box provided.
d e f
a
b
c
1a.
g h
i
1b.
d + 2a
e + 2b
f + 2c
a b c
g + 4d + 7a h + 4e + 7b i + 4f + 7c
a
b
c
3d
3e
3f
1c.
1d. det(3A)
g/4 h/4 i/4
a d g
g d a
1e.
b e h
1f.
h e b
c f
i
i f c
d
e
f
1
1g.
a + g b + h c + i
1h. det(A
)
d
e
f
2. By hand, find the determinant of the following matrix, using “cofactors” and taking advantage of
zeros wherever possible. Show all your steps.
4
9
8
1
0
0
5
0
6
3
10 2
7
0
2
3
3. Bonus! Justify your answer to (1f) above.
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