Typing   z=2+5i and then conj(z)    in MATLAB command line will output :Group of answer choices5+2i252-5i

To analyze the output of the MATLAB commands given (typing z = 2 + 5i and then conj(z)), let's break down the problem:

1. Break Down the Problem

First, we define the complex number $z$:

• $z = 2 + 5i$ Next, we need to find the conjugate of this complex number using the command conj(z) in MATLAB.

2. Relevant Concepts

The concept of a complex conjugate is essential here. The conjugate of a complex number of the form $a + bi$ is given by: $\text{conj}(a + bi) = a - bi$

3. Analysis and Detail

For $z = 2 + 5i$:

• The real part $a = 2$
• The imaginary part $b = 5$ Thus, the conjugate of $z$ would be: $\text{conj}(2 + 5i) = 2 - 5i$

4. Verify and Summarize

After performing the calculation, we identify that the conjugate of $z$ is indeed $2 - 5i$. No additional checks are needed as this follows directly from the definition of a complex conjugate.

Final Answer

When you execute conj(z) in MATLAB after setting $z = 2 + 5i$, the output will be: $2 - 5i$