class 12

Math

Algebra

Matrices

Let p be an odd prime number and $T_{p}$, be the following set of $2×2$ matrices $T_{p}={A=[ac ba ]:a,b,c∈{0,1,2,………p−1}}$ The number of A in $T_{p}$, such that A is either symmetric or skew-symmetric or both, and det (A) divisible by p is