Algebra 3 Quiz
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SYSTEMS, MATRICES & CONIC SECTIONS
Question 1
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Let
A
=
(
2
0
0
1
3
0
0
1
4
)
A=\begin{pmatrix}2&0&0\\1&3&0\\0&1&4\end{pmatrix}
A
=
2
1
0
0
3
1
0
0
4
and
B
=
(
1
2
0
0
1
0
0
0
3
)
B=\begin{pmatrix}1&2&0\\0&1&0\\0&0&3\end{pmatrix}
B
=
1
0
0
2
1
0
0
0
3
. What is
det
(
A
2
B
−
1
)
\det(A^2B^{-1})
det
(
A
2
B
−
1
)
?
A
8
8
8
B
48
48
48
C
72
72
72
D
192
192
192
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