AQA Further AS Paper 1 2023 June — Question 3 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2023
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMatrices
TypeMatrix multiplication
DifficultyEasy -1.8 This is a straightforward 2×2 matrix multiplication with a multiple-choice format worth only 1 mark. It requires only direct application of the matrix multiplication algorithm with no problem-solving, making it significantly easier than average A-level questions.
Spec4.03b Matrix operations: addition, multiplication, scalar

3 The matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by $$\mathbf { A } = \left[ \begin{array} { l l } 3 & 1 \\ 0 & 5 \end{array} \right] \quad \mathbf { B } = \left[ \begin{array} { l l } 0 & 4 \\ 7 & 1 \end{array} \right]$$ \section*{Calculate AB} Circle your answer.
[0pt] [1 mark] $$\left[ \begin{array} { l l } 3 & 5 \\ 7 & 6 \end{array} \right] \quad \left[ \begin{array} { c c } 0 & 20 \\ 21 & 12 \end{array} \right] \quad \left[ \begin{array} { l l } 0 & 4 \\ 0 & 5 \end{array} \right] \quad \left[ \begin{array} { c c } 7 & 13 \\ 35 & 5 \end{array} \right]$$

Question 3:
AnswerMarks Guidance
\(\begin{bmatrix} 7 & 13 \\ 35 & 5 \end{bmatrix}\)B1 Circles the correct answer (AO1.1b)
## Question 3:
$\begin{bmatrix} 7 & 13 \\ 35 & 5 \end{bmatrix}$ | B1 | Circles the correct answer (AO1.1b)

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3 The matrices $\mathbf { A }$ and $\mathbf { B }$ are given by

$$\mathbf { A } = \left[ \begin{array} { l l } 
3 & 1 \\
0 & 5
\end{array} \right] \quad \mathbf { B } = \left[ \begin{array} { l l } 
0 & 4 \\
7 & 1
\end{array} \right]$$

\section*{Calculate AB}
Circle your answer.\\[0pt]
[1 mark]

$$\left[ \begin{array} { l l } 
3 & 5 \\
7 & 6
\end{array} \right] \quad \left[ \begin{array} { c c } 
0 & 20 \\
21 & 12
\end{array} \right] \quad \left[ \begin{array} { l l } 
0 & 4 \\
0 & 5
\end{array} \right] \quad \left[ \begin{array} { c c } 
7 & 13 \\
35 & 5
\end{array} \right]$$

\hfill \mbox{\textit{AQA Further AS Paper 1 2023 Q3 [1]}}