What is the output of the following MATLAB code?

medium📝 Predict Output Q4 of 15

MATLAB - Linear Algebra

A = [4 1; 2 3]; [V,D] = eig(A); disp(D);

A[3 0; 0 4]

B[5 0; 0 2]

C[1 0; 0 6]

D[4 1; 2 3]

Step-by-Step Solution

Solution:

Step 1: Calculate eigenvalues of matrix A
Matrix A = [4 1; 2 3]. The characteristic polynomial is |A - \u03BBI| = 0.
Calculate: (4-\u03BB)(3-\u03BB) - 2*1 = 0
\u03BB^2 - 7\u03BB + 10 = 0
Step 2: Solve quadratic equation for eigenvalues
Roots are \u03BB = 5 and \u03BB = 2.
So, D = diag([2 5]) or diag([5 2]) depending on MATLAB ordering.
Final Answer:
Diagonal matrix with eigenvalues 5 and 2 -> Option B
Quick Check:
Eigenvalues = 5, 2 [OK]

Quick Trick: Eigenvalues are roots of characteristic polynomial [OK]

Common Mistakes:

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