How can you compute the determinant of the product of two square matrices X and Y in MATLAB efficiently?

hard📝 Application Q9 of 15

MATLAB - Linear Algebra

How can you compute the determinant of the product of two square matrices X and Y in MATLAB efficiently?

ACalculate det(X) + det(Y)

BCalculate det(X) * det(Y)

CCalculate det(X + Y)

DCalculate det(X) / det(Y)

Step-by-Step Solution

Solution:

Step 1: Recall determinant property for matrix products
The determinant of a product of two square matrices equals the product of their determinants.
Step 2: Apply property in MATLAB code
Compute det(X) * det(Y) to get determinant of X*Y efficiently.
Final Answer:
Calculate det(X) * det(Y) -> Option B
Quick Check:
det(X*Y) = det(X)*det(Y) [OK]

Quick Trick: det(AB) = det(A)*det(B) for square matrices [OK]

Common Mistakes:

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