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If z = a + bi, where a and b are real numbers, what is the conjugate of z?
If z = a + bi, where a and b are real numbers, what is the conjugate of z?
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Practice Questions
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Q1
If z = a + bi, where a and b are real numbers, 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, where a and b are real numbers, what is the conjugate of z?
Solution:
The conjugate of z = a + bi is z̅ = a - bi.
Steps: 4
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 'b' 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 'b'.
Step 4: Write the conjugate as z̅ = a - bi, where 'a' remains the same and 'b' changes sign.
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