`" If "A=[[ab,b^(2)],[-a^(2),-ab]]" and "B=I+A" ,then "|B|^(100)" ,where "I" is identity matrix of order "2" ,is "`

" If A=[[1,-2,2],[2,0,-1],[-3,1,1]] and "B" is the adjoint of A then value of |AB-3I| where I is the identity matrix of order 3, is

For a matrix A, if A^(2)=A and B=I-A then AB+BA +I-(I-A)^(2) is equal to (where, I is the identity matrix of the same order of matrix A)

If A=([3,23,3]) and B=([1,-(2)/(3)-1,1]) show that AB=I_(2) where I_(2) is the unit matrix of order 2

If A =[{:(3,-3,4),(2,-3,4),(0,-1,1):}] and B is the adjoint of A, find the value of |AB+2I| ,where l is the identity matrix of order 3.

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

If A is a skew symmetric matrix, then B=(I-A)(I+A)^(-1) is (where I is an identity matrix of same order as of A )

" 1.If "B" is an idempotent matrix and "A=I-B" then "AB=

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. Which of the following orderd triplet (m, n, p) is false?

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

If A=[(2, 2),(9,4)] and A^(2)+aA+bI=O . Then a+2b is equal to (where, I is an identity matrix and O is a null matrix of order 2 respectively)