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4 marksDeterminant of a 2x2 Matrix

CSEC Mathematics · May/June 2009 · Paper 2 · Question 14(a)

The value of the determinant of matrix M = ((x, 4), (3, x)) is 13.

Calculate the values of x.

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Other parts of this question

  1. 14(b)(i)Write a single matrix, in the form ((a, b), (c, d)), to represent the combined transformation S followed by R.[2 marks]
  2. 14(b)(ii)Calculate the image of the point (5, -2) under the combined transformation in (b)(i) above.[3 marks]
  3. 14(c)(i)Determine the inverse matrix of N.[2 marks]
  4. 14(c)(ii)Hence, calculate the value of x and the value of y for which 3x - y = 5 and 2x + 5y = 9.[4 marks]

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