Let `A=[(a,b),(c,d)]` be a matrix such that `A=A^-1` where `a , b , c ,d in {-1,0,1, . . .,10}` then find the number of such matrices A is

Let A=[(a, b),(c, a)]AA a, b, c, in {0, 1, 2} . If A is a singular matrix, then the number of possible matrices A are

Let A=[[a,bc,d]] be a 2xx2 matrix,where a,b,c,d take value 0 to 1 only.The number of such matrices which have inverses is

Which of the following is/are true? If A is a square matrix such that A = A then (1 + A) - 7A=1 If A is a square matrix such that A = A then (1+4)° -7A=0 Let B and C be two square matrices such that BC = CB and C=0. If A = B+C then A - B -3B+C = 0 Let B and C be two square matrices such that BC = CB and C=0. If A = B+C then A+B -3B+C =0

The number of matrices A = [(a,b),(c,d)] ( where a,b,c,d in R ) such that A^(-1) = -A is :

Let A=[(2,1),(0,3)] be a matrix. If A^(10)=[(a,b),(c,d)] then prove that a+d is divisible by 13.

Let x=[(2, 1),(0, 3)] be a matrix. If X^(6)=[(a, b),(c,d)] , then the number of divisors of (a+b+2020c+d) is equal to

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [[1,a,bomega,1,comega^(2),theta,1]], where each of a,b, and c is either omega or omega^(2). Then the number of distinct matrices in the set S is (a) 2 (b) 6 (c) 4 (d) 8