1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Intersection
If I3 denotes...
Question
If I
3
denotes identity matrix of order 3 × 3, write the value of its determinant.
Open in App
Solution
In an identity matrix, all the diagonal elements are 1 and rest of the elements are 0.
Here,
I
3
=
1
0
0
0
1
0
0
0
1
=
1
×
1
0
0
1
Expanding
along
C
1
=
1
⇒
I
3
=
1
Suggest Corrections
0
Similar questions
Q.
If
I
3
is the identity matrix of order
3
, then
(
I
3
)
−
1
is
Q.
If |A| denotes the value of the determinant of a square matrix of order 3, then |–2A| = ___________.
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.
Let
P
=
⎡
⎢
⎣
−
30
20
56
90
140
112
120
60
14
⎤
⎥
⎦
and
A
=
⎡
⎢
⎣
2
7
ω
2
−
1
−
ω
1
0
−
ω
−
ω
+
1
⎤
⎥
⎦
where
ω
=
−
1
+
i
√
3
2
and
I
3
be the identity matrix of order 3. If the determinant of the matrix
(
P
−
1
A
P
−
I
3
)
2
is
α
ω
2
, then the value of
α
is equal to
Q.
If
A
=
⎡
⎢
⎣
1
2
2
2
1
2
2
2
1
⎤
⎥
⎦
and
A
2
−
4
A
=
k
I
3
, then find the value of
k
.
[Where
I
3
is the identity matrix of order
3
]
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Where Friction?
MATHEMATICS
Watch in App
Explore more
Intersection
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app