The 2 \times 2 matrix C is defined, in terms of a scalar constant k, by C = \begin{pmatrix}3 & k\\6 & 4\end{pmatrix}.
Determine the value of k, given that the matrix C is singular.
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Practise this questionP', the image of the point P(7, 11) after it undergoes a rotation by 90^\circ anticlockwise about the origin, O.[1 mark]T is the combined transformation of A followed by B. Determine the elements of the matrix representing the transformation T.[2 marks]T.[2 marks]\vec{BX} in terms of u and v.[1 mark]\vec{BM} in terms of u and v.[1 mark]YM : YA is 1 : 3. Show ALL working.[3 marks]More practice: the rest of this paper · more Determinant of a 2x2 Matrix questions · all CSEC Mathematics past papers