सिद्ध कीजिए कि -
`|(a+ib,c+id),(-c+id,a-ib)|=a^(2)+b^(2)+c^(2)+d^(2)`.

Find the adjoint and inverse of each of the following matrices : A = [(a+ib, c +id),(-c + id,a - ib)] where a^(2) + b^(2) + c^(2) + d^(2) = 1

Evaluate: |(a+ib,c+id),(-c+id,a-id)|

If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1 , then find inverse of A.

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

Evaluate det [(a+ib, c +id),(-c+id, a-ib)]

Evaluate: |{:(" "a+ib,c+id),(-c+id,a-ib):}|

Evaluate |(a+ib,c+id),(-c+id,a-ib)| where i=sqrt(-1)

If (a+ib)/(c+id)=x+iy, prove that(i) (a-ib)/(c-id)=(x-iy)( ii) (a^(2)+b^(2))/(c^(2)+d^(2))=(x^(2)+y^(2))