a) Express the complex number ( 3 4 i ) 3 in the form a bi (b) Express the below complex number in the form a bi 5 2 i i (3 7 i ) (c) Consider the following matrix A 1 4 i 0 5 i 1 3 i 1 2 i Let B A 1 Find b 12 (i e , find the entry in row 1, column 2 of A 1 ) 5 21 5 21 S i (3 7i ) 7 3i 5 21) ( 7 31 ( 7 31 ) ( 7 31 ) 35 151 141 612 49 912 35 6 290 49 9 29 29 i 58 58 N ro Rl

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Question: a) Express the complex number (?3 +4 i ) 3 in the form a + bi . (b) Express the below complex number in the

a)	Express the complex number (?3 +4i)³ in the form a + bi.

(b)

Express the below complex number in the form a + bi.

5 + 2i

i?(3 + 7i)

(c)

Consider the following matrix.

1 ? 4i	0 + 5i
1 + 3i	1 ? 2i

Let B = A^?1. Find b₁₂ (i.e., find the entry in row 1, column 2 of A^?1)

a) Express the complex number (?3 +4 i ) 3 in the

5+ 21 5 + 21 S i (3 + 7i ) - 7+ 3i = 5+ 21) (-7-31 ( 7 + 31 ) (- 7-31 ) = - 35- 151-141-612 49 - 912 = - 35 + 6 - 290 49 + 9 = - 29 - 29 i 58 58 = N/ ro Rl

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