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If z = 1 + i, find the conjugate of z.
If z = 1 + i, find the conjugate of z.
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Practice Questions
1 question
Q1
If z = 1 + i, find the conjugate of z.
1 - i
1 + i
-1 + i
-1 - i
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The conjugate of z = 1 + i is z̅ = 1 - i.
Questions & Step-by-step Solutions
1 item
Q
Q: If z = 1 + i, find the conjugate of z.
Solution:
The conjugate of z = 1 + i is z̅ = 1 - i.
Steps: 4
Show Steps
Step 1: Identify the complex number z. In this case, z = 1 + i.
Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part.
Step 3: The imaginary part of z = 1 + i is +i. To find the conjugate, we change +i to -i.
Step 4: Write the conjugate of z. So, the conjugate z̅ = 1 - i.
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