Special square matrices — A/L Combined Mathematics

How do I practise Special square matrices?

1 question with a worked solution

Check before you answer: Determinant Calculation: Accurately calculating det(A) = ad - bc and determining whether the matrix is singular (det(A) = 0) or non-singular.

1. What is the determinant of the 2 × 2 matrix M = [[3, 2], [1, 4]]?
   1. A) 14
   2. B) 10
   3. C) 12
   4. D) 8
   Check my answer

   Correct answer: B) 10

   For a 2 × 2 matrix [[a, b], [c, d]], the determinant is det(M) = ad - bc. Substituting: det(M) = (3)(4) - (2)(1) = 12 - 2 = 10.

   Show worked solution

   Step 1: det(M) = ad - bc = (3 × 4) - (2 × 1). Step 2: 12 - 2 = 10. Answer: 10.
   Modelled on: the A/L Combined Mathematics examination pattern

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Where does Special square matrices fit in the syllabus?

Year 2 · Term 1