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Byju's Answer
Standard XII
Mathematics
Triangular Matrix
A matrix A of...
Question
A matrix A of order 3 × 3 is such that |A| = 4. Find the value of |2 A|.
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Solution
K
A
=
K
n
A
Here
,
n
is
the
order
of
A
.
Given
:
A
=
4
⇒
2
A
=
2
3
×
4
=
32
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Similar questions
Q.
(i) Find a matrix X such that 2A + B + X = O, where
A =
-
1
2
3
4
, B =
3
-
2
1
5
(ii) If A =
8
0
4
-
2
3
6
and B =
2
-
2
4
2
-
5
1
, then find the matrix X of order 3 × 2 such that 2A + 3X = 5B.
Q.
If
A
is a square matrix of order
3
and
|
A
|
=
4
. Find the value of
|
2
A
|
Q.
If A is a square matrix of order 3 such that adj (2A) = k adj (A), then write the value of k.
Q.
Let A be the matrix of order
3
×
3
such that
|
A
|
=
1
,
B
=
2
A
−
1
and
C
=
(
a
d
j
A
)
3
√
2
, then the value of
|
A
B
2
.
C
3
|
is
[Note : |A| represent determinant value of matrix A.]
Q.
Let
A
be a square matrix of order
3
×
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. Write the value of
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A
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A
|
=
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