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Byju's Answer
Standard VII
Mathematics
Properties of Multiplication of Integers
If I is the i...
Question
If I is the identity matrix of order 10, then determinant of I is ___________.
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Solution
Given:
Order of I is 10
Det(I) = 1, where I is the identity matrix of order n.
Hence, determinant of I is
1
.
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Similar questions
Q.
If
I
is unit matrix of order
10
, then the determinant of
I
is equal to
Q.
A matrix of order 3 × 3 has determinant 2. What is the value of |A (3I)|, where I is the identity matrix of order 3 × 3.
Q.
If
A
(
a
d
j
A
)
=
5
I
where
I
is the identity matrix of order
3
, then
|
a
d
j
A
|
is equal to
Q.
If and I is the identity matrix of order 2, show that
Q.
Let
A
(
t
)
=
[
a
i
j
]
be a matrix of order
3
×
3
given by
a
i
j
=
⎧
⎪
⎨
⎪
⎩
2
cos
t
,
if
i
=
j
1
,
if
|
i
−
j
|
=
1
0
,
otherwise
where
|
A
(
t
)
|
is determinant value of matrix
A
(
t
)
.
Then which of the following is/are CORRECT?
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