Question

Let z=7-4 i. Write the following numbers in a+b i form: (a) -4 z=

Answer 1

To calculate -4z when z is 7 - 4i, multiply both parts of z by -4, resulting in -4 times the real part (7) and -4 times the imaginary part (-4i), which gives -28 + 16i.

Step-by-step explanation:

The student's question asks to find the expression for -4z when z is given as 7 - 4i. To find this, we multiply both the real and imaginary parts of z by -4.

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• Multiply the real part: -4 × 7 = -28

• Multiply the imaginary part: -4 × -4i = 16i
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Hence, the expression for -4z in a+bi form is -28 + 16i.