MATLAB - Linear Algebra
Given the matrix
A = [2 0; 0 3];, what is the output of [V,D] = eig(A); D?Given the matrix A = [2 0; 0 3];, what is the output of [V,D] = eig(A); D?
medium📝 Predict Output Q13 of 15
Step-by-Step Solution
Solution:
Step 1: Identify eigenvalues of matrix A
MatrixAis diagonal with entries 2 and 3, so eigenvalues are 2 and 3.Step 2: Understand output of
DfromeigDis a diagonal matrix with eigenvalues on the diagonal, soD = [2 0; 0 3].Final Answer:
[[2 0]; [0 3]] -> Option CQuick Check:
Diagonal matrix D has eigenvalues 2 and 3 [OK]
Quick Trick: Eigenvalues of diagonal matrix are diagonal entries [OK]
Common Mistakes:
- Mixing order of eigenvalues
- Confusing eigenvalues with eigenvectors
- Expecting eigenvalues as a vector instead of diagonal matrix
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