Question 17 - Week 1 Practice | Prasnya
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Week 1
Question 17
00:00
Est. 2 min
Marks:
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Passage
Consider the matrices
A
=
[
1
0
1
0
1
0
1
0
α
]
,
B
=
[
β
−
2
0
1
0
1
0
6
6
β
−
1
]
,
A=\begin{bmatrix}1&0&1\\0&1&0\\1&0&\alpha\end{bmatrix},\quad B=\begin{bmatrix}\beta-2&0&1\\0&1&0\\6&6&\beta-1\end{bmatrix},
where
α
,
β
∈
R
\alpha,\beta\in\mathbb{R}
. Based on the above data, answer the given subquestions.
Question
For
α
=
3
\alpha=3
and
β
=
0
\beta=0
, find the value of
det
(
−
B
T
A
2
B
−
1
)
\det(-B^TA^2B^{-1})
.
Comprehension
Medium Difficulty
23 February 2025
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