7
You visited us
7
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Symmetric Matrix
The number of...
Question
The number of symmetric matrices of order
3
×
3
all of whose elements are either 0 or 1 is
A
256
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
128
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
64
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
64
⎡
⎢
⎣
a
b
c
b
d
e
c
e
f
⎤
⎥
⎦
To fix
a
,
b
,
c
,
d
,
e
f
every element has two options either
0
or
1
.
So
2
6
=
64
ways.
Suggest Corrections
10
Similar questions
Q.
Let
A
be the set of all
3
×
3
symmetric matrices all of whose entries are either
0
or
1
. Five of these entries are
1
and four of them are
0
.
The number of matrices in
A
is
Q.
Let
A
be the set of all
3
×
3
symmetric matrices all whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.
The number of matrices in
A
such that
|
A
|
=
0
, is
Q.
Let
A
be the set of all
3
×
3
symmetric matrices all of whose entries are either
0
or
1
. If five of these entries are
1
and four of them are
0
, then the
number of matrices in
A
is
Q.
Let
A
be the set of all 3
×
3 skew-symmetric matrices whose entries are either
−
1
,
0
, or
1
. If there are exactly three
0
s, three
1
s, and three
(
−
1
)
s, then the number of such matrices is
Q.
Matrices of order
3
×
3
are formed using the elements of set
A
=
{
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
}
.
Then the probability that matrices are either symmetric or skew-symmetric, is
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
MATHEMATICS
Watch in App
Explore more
Symmetric Matrix
Standard XI 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