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
12
6
3
9
A
12
B
9
C
6
D
3
Open in App
Solution
Verified by Toppr
If two zeros are the entries in the diagonal, then 3C2×3C1 If all the entries in the principle diagonal is 1, then 3C1 ⇒ Total matrix =12.
Was this answer helpful?
0
Similar Questions
Q1
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
View Solution
Q2
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
View Solution
Q3
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
View Solution
Q4
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 zero. The number of matrices in A is
View Solution
Q5
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 A in A for which the system of linear equations A⎡⎢⎣xyz⎤⎥⎦=⎡⎢⎣100⎤⎥⎦ is inconsistent is: