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

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

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

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

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

Let, C_(k) = ""^(n)C_(k) " for" 0 le kle n and A_(k) = [[C_(k-1)^(2),0],[0,C_(k)^(2)]] for k ge l and A_(1) + A_(2) + A_(3) +...+ A_(n) = [[k_(1),0],[0, k_(2)]] , then

If the length of the tangent from (5,4) to the circle x^(2) + y^(2) + 2ky = 0 is 1 then find k.