" show that "{i^(23)+((1)/(i^(2)))^(29)}^(2)=-4

If ((a+i)^(2))/((2a-i))=p+iq, show that: p^(2)+q^(2)=((a^(2)+1)^(2))/((4a^(2)+1))

If ((a + i)^(2))/(2a-i) = p + iq, show that p^(2) + q^(2) = (a^(2) + 1)^(2)/(4a^(2) + 1)

If ((a+i)^(2))/(2a-i)= p +qi , show that p^(2) + q^(2)= ((a^(2) + 1)^(2))/(4a^(2) + 1)

The value of (i^(23)+((1)/(i))^(29))^(2) is

Show that ((2-i)^(2))/(3+4i)=1

If x-(1)/(x)=2i sin theta, show that x^(4)-(1)/(x^(4))=2i sin4 theta

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

if A = [(I,0)(0,-i)] then show that A^(2) = -1 (i^(2)=-1) .

If the matrix A is involutary, show that (1)/(2)(I+A) and (1)/(2)(I-A) are idempotent and (1)/(2)(I+A)(1)/(2)(I-A)=O