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Core Pure: matrices and transformations

Quick questions on Inverse matrices: the 2x2 inverse, the 3x3 inverse and the inverse of a product - 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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Find the inverse of (3121)\begin{pmatrix} 3 & 1 \\ 2 & 1 \end{pmatrix}. [3 marks]
What is q2?
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Given det⁡A=3\det \mathbf{A} = 3 and det⁡B=−2\det \mathbf{B} = -2 for 3×33 \times 3 matrices, find det⁡(AB−1)\det(\mathbf{A}\mathbf{B}^{-1}). [2 marks]

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