IB skill practice

Use inverse matrices in applications

Use inverse-matrix logic to recover inputs from a linear model.

Paper 1, Paper 2 5 marks Difficulty 5

Use inverse matrices in applications - technology-output check

A training centre linear model uses \(A=\begin{pmatrix}2&1\\1&3nd{pmatrix}\). The output vector is \(\begin{pmatrix}14\\17nd{pmatrix}\). Use \(A^{-1}\) to recover the first input. This version asks for the same mathematical quantity after confirming the method from the context. Enter the requested value and choose the interpretation that matches the result.

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