Let `A=((a,b), (c,d))` such that `A^3=0,` then `a+d` equals

If A=[(a,b),(c,d)] is such that |A|=0 and A^(2)-(a+d)A+kI=0 ,then k is equal to

Let A=[(a,b),(c, d)]and B=[(alpha), (beta)] ne [(0), (0)] such that AB = B and a+d=2021 , then the value of ad-bc is equal to ___________ .

Let a, b, c, d be distinct integers such that the equation (x - a) (x -b) (x -c)(x-d) - 9 = 0 has an integer root 'r', then the value of a +b+c+d - 4r is equal to :

Let a, b, c, d be distinct integers such that the equation (x - a) (x -b) (x -c)(x-d) - 9 = 0 has an integer root 'r', then the value of a +b+c+d - 4r is equal to :

Let A = [(a,b),(c,d)] ,a,b,c,d in R If A^(5)=A^(3)+I then A is