Further Mathematics

Matrices & Vectors

Key Points

  • Matrix multiplication: (m×n)(n×p) = m×p result
  • 2×2 determinant: ad − bc
  • 2×2 inverse: (1/det)[d −b; −c a]
  • Vector magnitude: |r| = √(x² + y²)
  • Dot product: a·b = |a||b|cos θ

Practice Questions

2 questions
1

Find the determinant of the matrix [[3, 2], [1, 4]].

2

If A = [[1, 2], [3, 4]], find the trace of A.