Question 8 - Week 1 Practice | Prasnya
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Week 1
Question 8
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Est. 3 min
Marks:
+5.00
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Let
A
A
be a
3
×
3
3\times3
matrix such that
det
(
A
)
=
−
3
\det(A)=-3
. For which of the options below is the matrix
B
B
, obtained from
A
A
by performing the operations in the option, such that
det
(
B
)
=
12
\det(B)=12
?
Multiple correct
Medium Difficulty
13 July 2025
A
B
B
is obtained by swapping the first two rows and then multiplying the third row by
4
4
.
B
B
B
is obtained by swapping the first and third row and then multiplying the second row by
−
4
-4
.
C
B
B
is obtained by multiplying the second row by
−
4
-4
.
D
B
B
is obtained by multiplying the first row by
2
2
and the third row by
−
2
-2
.
