Given a 4x4 matrix C, which MATLAB code correctly computes the determinant of the matrix formed by removing the 2nd row and 3rd column of C?

hard📝 Application Q8 of 15

MATLAB - Linear Algebra

Given a 4x4 matrix C, which MATLAB code correctly computes the determinant of the matrix formed by removing the 2nd row and 3rd column of C?

Adet(C([1 3 4], [1 2 4]))

Bdet(C(2,3))

Cdet(C([2 3], [3 4]))

Ddet(C(1:3, 1:3))

Step-by-Step Solution

Solution:

Step 1: Understand matrix indexing to remove row and column
Removing 2nd row and 3rd column means selecting rows 1,3,4 and columns 1,2,4.
Step 2: Use MATLAB indexing to form submatrix and compute determinant
det(C([1 3 4], [1 2 4])) correctly computes determinant of the 3x3 submatrix.
Final Answer:
det(C([1 3 4], [1 2 4])) -> Option A
Quick Check:
Remove row 2 & column 3 by indexing [OK]

Quick Trick: Use indexing to exclude rows/columns before det() [OK]

Common Mistakes:

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