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4 marksDeterminant of a 2x2 Matrix

CSEC Mathematics · January 2007 · Paper 2 · Question 14(a)

This question involves matrices. Given that D = [[1, 9p], [p, 4]] is a singular matrix.

Determine the value(s) of p.

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Other parts of this question

  1. 14(b)(i)Write the equations in the form AX = B where A, X and B are matrices.[2 marks]
  2. 14(b)(ii)a)Calculate the determinant of the matrix A.[2 marks]
  3. 14(b)(ii)b)Show that A⁻¹ = [[-4/7, 5/7], [3/7, -2/7]].[2 marks]
  4. 14(b)(ii)c)Use the matrix A⁻¹ to solve for x and y.[5 marks]

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