If `A=[[2,4],[-1,k]]` and `A^2=0` then find k

If A=[[2,4],[-1,k]] and A^2=0 , rhen find the value of k

If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

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

If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that A^2=8A+k I

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

If for a matrix A, absA=6and adj A= {:[(1,-2,4),(4,1,1),(-1,k,0)]:} , then k is equal to

If A=[{:(0,2),(3,-4):}] and k A =[{:(0,3a),(2b,24):}], then find the value of b-a-k.

(i) If the points (1,4),(3,-2)and (k,1) are collinear, fine the value of k. (ii) If the points A(k+1,2k),B(3k,2k+3)andC(5k-1,5k) are collinear, then find k

If A=[(1, 0),(-1 ,7)] , find k such that A^2-8A+k I=O .

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot