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If z = a + bi, what is the conjugate of z?
If z = a + bi, what is the conjugate of z?
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Practice Questions
1 question
Q1
If z = a + bi, what is the conjugate of z?
a - bi
a + bi
-a + bi
-a - bi
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The conjugate of z = a + bi is z̅ = a - bi.
Questions & Step-by-step Solutions
1 item
Q
Q: If z = a + bi, what is the conjugate of z?
Solution:
The conjugate of z = a + bi is z̅ = a - bi.
Steps: 5
Show Steps
Step 1: Identify the complex number z, which is given as z = a + bi.
Step 2: Recognize that 'a' is the real part and 'bi' is the imaginary part of the complex number.
Step 3: To find the conjugate of z, you need to change the sign of the imaginary part.
Step 4: The imaginary part 'bi' becomes '-bi' when you take the conjugate.
Step 5: Write the conjugate of z as z̅ = a - bi.
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