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EnglandFurther MathsQuick questions

Core Pure: matrices and transformations

Quick questions on Solving linear systems with matrices: the matrix equation, inverse method and geometry of three planes - OCR A-Level Further Maths A

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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Solve (1235)(xy)=(411)\begin{pmatrix} 1 & 2 \\ 3 & 5 \end{pmatrix}\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 4 \\ 11 \end{pmatrix} by the inverse method. [3 marks]
What is q2?
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A 3×33 \times 3 coefficient matrix has determinant 00 and elimination gives 0=00 = 0. What is the geometric configuration of the three planes? [2 marks]

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