`M=((p,q),(r,s))` is a sin gular matrix. Its determinantis equal to its trace, then `p =`

if P,q, r, s in R such that p r= 2 ( q+ s) then

A = [[p,q],[r,s]] where p, q, r and s are positive integers. If A is symmetric matrix, |A|=20 and p = q, then find how many values are possible for s.

{(p wedge (p to q)) wedge (q to r)} to r is equal to

If, in a trianglePQR , sin P, sin Q, sin R are in the A.P, then its altitudes are in

If A = [(p,q),(r,s)] , then express A as the sum of a symmetric and a skew-symmetric matrix.

Let A = [[2,3],[a,0]], a in R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible values of determinant of P is equal to :