Let A be a square matrix such that a(...

Let A be a square matrix such that
`a_(ij)in{-1,01}AA i,j` and it has
only one non-zero entry in each row
as well as in each column,then

A

A can be singular matrix

B

A must be skew symmetric

C

A must be symmetric

D

A must be orthogonal

Verified by Experts

The correct Answer is:

D

NTA TPC JEE MAIN TEST 30
NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos
NTA TPC JEE MAIN TEST 124
NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
NTA TPC JEE MAIN TEST 36
NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix such that a_(ij)=(i+j)(i-j), then for A to be non-singular the order of the matrix can be .

A square matrix [a_(ij)] such that a_(ij)=0 for i ne j and a_(ij) = k where k is a constant for i = j is called :

In square matrix A=(a_(ij)) if i lt j and a_(ij)=0 then A is

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

A square matrix [A_(ij)] such that a_(ij)=0 for I ne j and a_(ij)=k where k is a constant for i=j is called.

If A is a square matrix for which a_(ij)=i^(2)-j^(2) , then matrix A is

If A is a n n matrix such that a_(ij)=sin^(-1)sin(i-j)AA i,j then which of the following statement is not true

If A=[a_(ij)] is a square matrix of even order such that a_(ij)=i^(2)-j^(2), then