Solving equations using matrices — KCSE Mathematics
KCSE Mathematics · 106 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Express a system of two simultaneous linear equations in matrix form AX = B
Solve the matrix equation AX = B using X = A⁻¹B when the inverse of A exists
Solving equations using matrices
Sample Questions
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State the steps to obtain the solution for the matrix equation AX = B where A = [[2, 1], [3, 4]] and B = [[5], [6]]. (4 marks)
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Identify the inverse of the matrix A = [[1, 2], [3, 4]]. (3 marks)
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Consider the equations 5x + 2y = 20 and 3x + 4y = 18. Express them in the matrix form AX = B and determine the inverse of A. (4 marks)
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Why Practise Solving equations using matrices?
KNEC Aligned
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