O-LevelAdditional MathematicsSimultaneous equations4037/11 · May/June 2015 · Q45 Marks
Given that the matrix X = [2 -4; k 0], find X² in terms of the constant k.
- (a)Given that the matrix X = [2 -4; k 0], find X² in terms of the constant k.[2]
- (b)Given that the matrix A = [a 1; b 5] and the matrix A⁻¹ = [5/6 -1/6; -1/3 1/3], find the value of each of the integers a and b.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [B2,1,0] -1 each incorrect element
- [M1] use of AA⁻¹ = I and an attempt to obtain at least one equation.
- [A1,A1] Any 2 equations will give a = 2, b = 4
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