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What does the MATLAB function det(A) compute when A is a square matrix?

easy📝 Conceptual Q11 of 15
MATLAB - Linear Algebra

What does the MATLAB function det(A) compute when A is a square matrix?

AThe determinant of matrix A
BThe transpose of matrix A
CThe inverse of matrix A
DThe sum of all elements in matrix A
Step-by-Step Solution
Solution:
  1. Step 1: Understand the function purpose

    The function det(A) in MATLAB calculates a single number called the determinant for a square matrix A.
  2. Step 2: Recall determinant meaning

    The determinant tells us about matrix properties like invertibility, not transpose, inverse, or sum.
  3. Final Answer:

    The determinant of matrix A -> Option A
  4. Quick Check:

    det(A) = determinant [OK]
Quick Trick: Remember det() always returns a single number for square matrices [OK]
Common Mistakes:
  • Confusing determinant with transpose
  • Thinking det() returns a matrix
  • Mixing determinant with sum of elements

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