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2 marksMatrix Operations

CSEC Mathematics · May/June 2018 · Paper 2 · Question 10(a)(i)

A transformation, T, is defined by the matrix T = [[2, -1], [2, 0]]. The point A (-2, 3) is mapped on to the point A' (a, b) under T.

Find the value of a and of b.

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  1. 10(a)(ii)Determine the transformation matrix that maps A' to A.[2 marks]
  2. 10(a)(iii)a)Find the single 2 × 2 matrix that represents the combined transformation of T followed by P.[2 marks]
  3. 10(a)(iii)b)Hence, find the image of the point (1, 4) under this combined transformation.[1 mark]
  4. 10(b)(i)Complete the statement below on the geometric properties of the following vectors. Vector AB and vector DC are _______________ and |vector AB| is…[2 marks]
  5. 10(b)(ii)Express vector BC in terms of m and n.[1 mark]
  6. 10(b)(iii)L is the midpoint of CD. Find vector BL in terms of m and n.[2 marks]

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