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Evaluate (1+i)^(6) + (1-i)^(3)...

Evaluate `(1+i)^(6) + (1-i)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
`-2-10i`
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Knowledge Check

  • (1+i)^(6)+(1-i)^(6)=

    A
    0
    B
    `2^(7)`
    C
    `2^(6)`
    D
    `2^(5)`

  • If n is an odd integer, then (1+i)^(6 n)+(1-i)^(6 n) is equal to

    A
    0
    B
    2
    C
    -2
    D
    -1

  • One of the value of (cos (pi)/(6)+i sin (pi)/(6))^(1 / 2)+(cos (pi)/(6)-i sin (pi)/(6))^(1 / 2) is

    A
    1
    B
    0
    C
    -1
    D
    none of these

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    If A^(n) = 0 , then evaluate (i) I+A+A^(2)+A^(3)+…+A^(n-1) (ii) I-A + A^(2) - A^(3) +... + (-1) ^(n-1) for odd 'n' where I is the identity matrix having the same order of A.

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

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