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Specialist Mathematics Β· Unit 3 Β· Further matrices Β· Matrix algebra and systems of equations

Use matrix algebra to solve matrix equations that involve matrices of beyond dimension 2 Γ— 2, including those of the form 𝑨𝑿 = 𝑩, 𝑿𝑨 = 𝑩 and 𝑨𝑿 + 𝑩𝑿 = π‘ͺ, with technology.

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Question 1

Calculate the matrix X that satisfies AX = B, where A = [[2, 1, 0], [1, 3, 1], [0, 1, 2]] and B = [[5], [9], [7]].

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Question 2

Use technology to solve the matrix equation AX + BX = C for the matrix X, where A, B, and C are given in the stimulus. Express your answer as a 3 Γ— 2 matrix with elements correct to two decimal places.

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Model and solve problems that involve matrices of beyond dimension 2 Γ— 2, including the solution of systems of linear equations, with technology.
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