Matrices — O/L Mathematics

How do I practise Matrices?

1 question with a worked solution

1. Given matrix A = [[2, -1], [3, 4]] and matrix B = [[1, 5], [0, -2]], find the matrix A + 2B.
   1. A) [[4, 9], [3, 0]]
   2. B) [[3, 4], [3, 2]]
   3. C) [[2, 9], [3, 0]]
   4. D) [[4, 8], [3, 2]]
   Check my answer

   Correct answer: A) [[4, 9], [3, 0]]

   Scalar multiplication: 2B = [[2, 10], [0, -4]]. Matrix addition: A + 2B = [[2 + 2, -1 + 10], [3 + 0, 4 + (-4)]] = [[4, 9], [3, 0]].

   Show worked solution

   Step 1: Compute scalar multiple 2B: 2 × [[1, 5], [0, -2]] = [[2, 10], [0, -4]]. Step 2: Add matrix A: [[2, -1], [3, 4]] + [[2, 10], [0, -4]]. Step 3: Component-wise sum: Row 1 = [2+2, -1+10] = [4, 9]; Row 2 = [3+0, 4+(-4)] = [3, 0]. Answer: [[4, 9], [3, 0]].
   Modelled on: the O/L Mathematics examination pattern

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Grade 11 · Term 3