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EXM.1.AHL.TZ0.48

pestleMathematicsAIHLPaper 1EXM· ahl-1-14-introduction-to-matricessource ↗

The matrices A, B, C and X are all non-singular 3 × 3 matrices.

Given that A1XB = C, express X in terms of the other matrices.

Markscheme / solution

AA–1XB = ΑC       (M1)(A1)

IXBB–1 = ACB–1  (M1)(A1)

X = ACB–1           (M1)(A1)  (C6)

[6 marks]

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