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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · January 2007 · Paper 2 · Question 14(b)(ii)b)

Given the linear equations: 2x + 5y = 6, 3x + 4y = 8.

Show that A⁻¹ = [[-4/7, 5/7], [3/7, -2/7]].

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Other parts of this question

  1. 14(a)Determine the value(s) of p.[4 marks]
  2. 14(b)(i)Write the equations in the form AX = B where A, X and B are matrices.[2 marks]
  3. 14(b)(ii)a)Calculate the determinant of the matrix A.[2 marks]
  4. 14(b)(ii)c)Use the matrix A⁻¹ to solve for x and y.[5 marks]

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