To classify: The given statement as true or false.
The given statement is true.
Given statement: The conjugate of the additive inverse of a
Explanation:
Consider the complex number
Thus additive inverse of
Result 1:
The conjugate of a complex number is a complex number obtained by replacing i by − i . Therefore, the conjugate of
Result 2:
The conjugate of the complex number
From Result (1) and Result (2), the statement:
‘The conjugate of the additive inverse of a complex number is equal to the additive inverse of the conjugate of that complex number’ is true.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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