Math Problem Statement

What is the value of X after execution of this code? X = max(max(magic(4)))

Solution

Thank you for sharing the image. Here's an overview of the questions in the image, which appear to test MATLAB coding skills and mathematical operations:


1. Write a single statement to evaluate the following operation:

0πsin(x)dx\int_0^\pi \sin(x) \, dx

2. Write a MATLAB single statement to find the roots of the following polynomial:

f(x)=x3+2x2+x+1f(x) = x^3 + 2x^2 + x + 1

3. Write down the value of XX:

Given:

matlab
X = linspace(0, 1, 11);

4. Write MATLAB code to evaluate the following:

f(x)dx\int f(x) \, dx, where f(x)=ln(x)f(x) = \ln(x).

5. What is the value of XX after execution of this code?

matlab
X = [1, 2, 3, 4, 0.5]; X(X > 0) = 0;

6. What is the value of XX after execution of this code?

matlab
X = [1, 2, 3, 4, 5, 6]; Then X = X(2:4);

7. Write one more equivalent statement that will give the same as below:

matlab
X = linspace(0, 1, 20);

8. Write a single statement to find the maximum value in the following vector:

matlab
A = [1, 5, 3, 8, 7];

9. Write all possible outputs for the following code:

matlab
X = randi([1, 6], 1);

10. Which of the following statements will produce an error, given that AA is a vector?

  • A=A+2A = A + 2
  • A(A>1)=1A(A > 1) = 1
  • A(A=2)=[]A(A = 2) = [ ]
  • A=2AA = 2 * A
  • A=0A = {0}

11. Write a single statement to define the complex number ZZ, where Z=3070Z = 30 \angle 70^\circ.

12. What is the value of XX after execution of this code?

matlab
X = max(max(magic(4)));

Would you like me to solve all these problems step-by-step or focus on specific ones? Let me know where you'd like to start!

Here are 5 follow-up questions that expand on the content:

  1. How can you use MATLAB to solve a definite integral numerically?
  2. What is the significance of randi in MATLAB for generating random integers?
  3. How does the linspace function work in MATLAB?
  4. How can we use logical indexing to modify specific values of a vector in MATLAB?
  5. What does the magic function do in MATLAB?

Tip: MATLAB's roots() function is extremely useful to find the roots of a polynomial represented as a vector of its coefficients.

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Math Problem Analysis

Mathematical Concepts

Matrix Operations
Magic Squares
Maximum Value

Formulas

max(matrix)
magic(n)

Theorems

Properties of Magic Squares

Suitable Grade Level

Undergraduate/College Level