If `|{:(6i , -3i , 1) , (4 , 3i , -1) , (20 , 3 , i):}|` = x +iy show that x = y = 0

If (x + 3i)/(2 + iy) = 1 - i then the value of (5x - 7y)^(2) =

If (x + iy)^((1)/(3)) = 5+ 3i , then 3x + 5y =

If |(1-i,i),(1+2i,-i)|=x+iy , then x is equal to

If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

If |{:(1-i,i),(1+2i,-1):}|=x+iy,"then " x =

The descending order of the moduli of z_(1) = (3 - 4i) (4 + 3i) , z_(2) = (3 + 4i)/(1 +i) , z_(3) = ((3 + i) (2- i))/(1+ i) , z_(4) = 5 + 12 i is

I : If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = (2, -3) II : If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c = 3a + b

If ((1+i)/(1 -i)) - ((1 - i)/(1 +i)) = x +iy find x and y .

If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] , then show that A is hermitian matrix.