The order of the matrix `[{:(a),(b),(c ),(d):}]` is _______

The inverse of the matrix {:[(a,b),(c,d)]:} is

The necessary and sufficient condition that any matrix A=[{:(a,b),(c,d):}] of order 2 times 2 has an inverse is-

The inverse of a matrix A=[[a, b], [c, d]] is

If the inverse of the matrix [(1,2),(3,-5)] is 1/11[(a,b),(c,d)] then the ascending order of a,b,c,d is

Given that matrix B = [{:( a,b),(c,d) :}] find lambda so that B^(2) - ( a+d) B =lambda l. where I is a unit matrix of order 2.

If A is a matrix of order mxxn and B is a matrix such that A B^T and B^T A are both defined, then the order of matrix B is (a) mxxn (b) nxxn (c) nxxm (d) mxxm

The order of matrix A+B^(T) is 4xx3 , then the order of matrix B is _________ .

If the inverse of the matrix [[1,2],[3,-5]]^(n) is 1/11[[a,b],[c,d]] , then the ascending order of a, b, c, d is