Abstract Algebra: Theory and Applications · Problem 15

Permutation Groups — Thomas Judson

Mathematics — Abstract Algebra · complex-numbers-arithmetic

Problem

Evaluate each of the following. ((a))

(3-2i)+(5i-6)

((b))

(4-5i)-\overline{(4i-4)}

((c))

(5-4i)(7+2i)

((d))

(9-i)\overline{(9-i)}

((e))

i^{45}

((f))

(1+i)+\overline{(1+i)}

Hint. (a)

-3+3i

; (c)

43-18i

; (e)

i