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3 marksMatrix Problem Solving

CSEC Mathematics · January 2012 · Paper 2 · Question 11(c)(ii)

The matrix, Q, is such that Q = (4 2; 1 1).

Using a matrix method, find the values of x and y in the equation (4 2; 1 1) (x; y) = (8; 3).

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Other parts of this question

  1. 11(a)(i)a)Write as a column vector, in the form (x, y), OA.[1 mark]
  2. 11(a)(i)b)Write as a column vector, in the form (x, y), OB.[1 mark]
  3. 11(a)(i)c)Write as a column vector, in the form (x, y), BA.[2 marks]
  4. 11(a)(ii)a)Write as a column vector in the form (x, y), BG.[1 mark]
  5. 11(a)(ii)b)Write as a column vector in the form (x, y), OG.[1 mark]
  6. 11(b)(i)Evaluate L + 2M.[2 marks]
  7. 11(b)(ii)Evaluate LM.[2 marks]
  8. 11(c)(i)Find Q⁻¹.[2 marks]

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