O-LevelAdditional MathematicsSimultaneous equations4037/11 · May/June 2016 · Q47 Marks
Given the matrices A = [[1, 2], [3, 0]] and B = [[3, 0], [1, 2]], find A² - 2B.
- (a)Given the matrices A = [[1, 2], [3, 0]] and B = [[3, 0], [1, 2]], find A² - 2B.[3]
- (b)Using a matrix method, solve the equations 4x + y = 1, 10x + 3y = 1.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] A² = [[7, 2], [3, 6]]
- [1] A² - 2B = [[3, 2], [1, 2]] - [[6, 0], [2, 4]]
- [1] A² - 2B = [[1, 2], [-5, 2]]
- [1] [[4, 1], [10, 3]] [[x], [y]] = [[1], [1]]
- [1] [[x], [y]] = 1/2 [[3, -1], [-10, 4]] [[1], [1]]
- [1] [[x], [y]] = 1/2 [[2], [-6]]
- [1] x = 1, y = -3
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