Easy -1.8 This is a 1-mark multiple choice question requiring only direct substitution of each point into the transformation equation Ax = x to check which satisfies it. The calculation is trivial (checking if the point lies on the line y = 0), requiring minimal algebraic manipulation and no conceptual insight beyond knowing what 'invariant point' means.
The matrix \(\mathbf{A} = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}\) represents a transformation.
Which one of the points below is an invariant point under this transformation?
Circle your answer.
[1 mark]
\((1, 1) \quad (0, 2) \quad (3, 0) \quad (2, 1)\)
The matrix $\mathbf{A} = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}$ represents a transformation.
Which one of the points below is an invariant point under this transformation?
Circle your answer.
[1 mark]
$(1, 1) \quad (0, 2) \quad (3, 0) \quad (2, 1)$
\hfill \mbox{\textit{AQA Further Paper 1 2023 Q3 [1]}}