`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) ?`

Let A = [(1,1),(0,1)] and B = [(b_(1),b_(2)),(b_(3),b_(4))] . If 10 A^(10) +Adj (A^(10)) = B then b_(1)+b_(2)+b_(3)+b_(4) is equal to :

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) then the value of k-1020 is.

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

Let a=[(1,-1),(2, -1)] and B=[(a,1),(b,-1)] are two matrices. If (A+B)^(2)=A^(2)+B^(2) , then the value of 3a+4b is equal to

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

Let b_(1),b_(2),....... be a geometric sequence such that b_(1)+b_(2)=1 and sum_(k=1)^(oo)b_(k)=2 .Given that b_(2)<0 ,then the value of b_(1) is:

Let A=[[4, a ],[-1,b]] and B=[[1,-2],[1,4]] are two matrices satisfying the relation A^(3)+3A^(2)B+3AB^(2)+B^(3)=(A+B)^(3) .If (A+B)= lambda(A^(-1)+B^(-1)) ,then find the value of lambda

Let b_(1),b_(2),....... be a gemoertic sequence such that b_(1)+b_(2)=1and sum_(k=1)^(oo)b_(k)=2 . Given that b_(2)lt0 then the value of b_(1) is :

If A'=[[-2,3],[1,2]] and B=[[-1,0],[1,2]] then find the value of (A+2B)'