Mathematics > Edexcel Question Paper > Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary PAPER 1: Core Pure Mathematics 8 (All)

Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary PAPER 1: Core Pure Mathematics 8FM0/01

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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary PAPER 1: Core Pure Mathematics 8FM0/011. A = 4 1 7 2 5 8 − −   B = 2 3 2 −1 6 5  ...  C = − −   5 2 1 4 3 8 6 11 2 Given that I is the 3 × 3 identity matrix, (a) (i) show that there is an integer k for which AB − 3C + kI = 0 stating the value of k (ii) explain why there can be no constant m such that BA − 3C + mI = 0 (4) (b) (i) Show how the matrix C can be used to solve the simultaneous equations −5x + 2y + z = −14 4x + 3y + 8z = 3 −6x + 11y + 2z = 7 (ii) Hence use your calculator to solve these equations. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ __________________________________________________ [Show More]

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