Q32 of 307 Page 6

If A = [a_ij] is scalar matrix of order n × n such that a_ij = k for all i, then trace of A is equal to

Trace of A, i.e., tr (A) =

= k + k + k + k + k + ................... (n times)

= k(n)

= nk

Option (A) is the answer.

If and , then B equals

The trace of the matrix is

The matrix is a

The number of possible matrices of order 3 × 3 with each entry 2 or 0 is

If A = [aij] is scalar matrix of order n × n such that aij = k for all i, then trace of A is equal to