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Year 12 Specialist (Unit 3 & 4) Applications of matrices

Using matrix algebra for systems of linear equations in two variables

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Questions
Question 1
162918

Let \( A = \begin{bmatrix} 1 & 2 \\ 3 & -5 \end{bmatrix} \) and \( X = \begin{bmatrix} x \\ y \end{bmatrix} \). Solve the system \( A X = K \) where \( K = \begin{bmatrix} 15 \\ 1 \end{bmatrix} \).

\(\left[\begin{array}{l}7 \\ 4\end{array}\right]\)

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