If `B=[[-2,-2],[-1,0]]` and A is a matrix such that `A^(-1)B=B^(-1)` and `KA^(-1)=2B^(-1)+ I` where K is some scalar then value of k is

se A is a matrix such that A^(2)=A and (I+A)^(6)=1+KA, then k is

A=[[1,1],[0,1]] and B=[[b_(1),b_(2)],[b_(3),b_(4)]] are two matrices such that , 10(A^(10))+adj(A^(10))=B .What is the value of sum_(k=1)^(4)b_(k) ?

If A is a non singular square matrix where B=A^(T) and A+B^(2)=I such that A^(3)+I=kA then find the value of k.

a,b are distinct natural numbers that (1)/(a)+(1)/(b)=(2)/(5). If sqrt(a+b)=k sqrt(2), then the value of k is

If A is an invertible matrix of order 3 and B is another matrix of the same order as of A, such that |B|=2, A^(T)|A|B=A|B|B^(T). If |AB^(-1)adj(A^(T)B)^(-1)|=K , then the value of 4K is equal to

If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)] , find k so that A^(2)=kA-2I .

Let A and B are square matrices of order 3. If |A|=4, |B|=6, B=A-2I and |adj(I-2A^(-1))|=k , then the value of k is equal to