If `A^2 = A`, then `(I + A)^(4)` is equal to

If A is non-singular and (A-2I) (A-4I) = O , then 1/6 A + 4/3 A^(-1) is equal to

If ((1+i)(2+3i)(3-4i))/((2-3i)(1-i)(3+4i)) = a + ib , then a^(2) + b^(2) is equal to

If the number of onto functions from [1,2,3,4}rarr{2,3,4} such that f(1)!=i for i=1,2,3,4 is k then (k)/(4) is equal to

1+i+i^(2)+i^(3) is equal to

1+i+i^(2)+i^(3) is equal to

If A=[(1,-3), (2,k)] and A^(2) - 4A + 10I = A , then k is equal to

If A=[(1,-3), (2,k)] and A^(2) - 4A + 10I = A , then k is equal to

Let A be a squàre matrix of order 2 sụch that A^2 - 4 A+4 I=O where I is an identity matrix of order 2 . If B=A^5+4 A^4+6 A^3+4 A^2+A , then det(B) is equal to