Question 2 - A-Level Maths

AQA Further AS Paper 1 2018 June — Question 2 1 marks

Exam Board	AQA
Module	Further AS Paper 1 (Further AS Paper 1)
Year	2018
Session	June
Marks	1
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Matrices
Type	Matrix conformability and dimensions
Difficulty	Easy -1.8 This is a straightforward recall question testing only whether students know the basic rule for matrix multiplication compatibility (columns of first matrix must equal rows of second). It requires no calculation, just checking dimensions: A is 3×3, B is 3×2, C is 2×3. This is simpler than typical A-level questions as it's pure recall with no computation or problem-solving.
Spec	4.03b Matrix operations: addition, multiplication, scalar

Three matrices $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{C}$ are given by $$\mathbf{A} = \begin{pmatrix} 5 & 2 & -3 \\ 0 & 7 & 6 \\ 4 & 1 & 0 \end{pmatrix}, \quad \mathbf{B} = \begin{pmatrix} 1 & 0 \\ 3 & -5 \\ -2 & 6 \end{pmatrix} \quad \text{and } \mathbf{C} = \begin{pmatrix} 6 & 4 & 3 \\ 1 & 2 & 0 \end{pmatrix}$$ Which of the following **cannot** be calculated? Circle your answer. [1 mark] $\mathbf{AB}$ $\qquad$ $\mathbf{AC}$ $\qquad$ $\mathbf{BC}$ $\qquad$ $\mathbf{A}^2$

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Question 2:

Answer	Marks	Guidance
2	Circles correct answer	1.1a
Total	1
Q	Marking instructions	AO

Question 2:
2 | Circles correct answer | 1.1a | B1 | AC
Total | 1
Q | Marking instructions | AO | Mark | Typical solution

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Three matrices $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{C}$ are given by

$$\mathbf{A} = \begin{pmatrix} 5 & 2 & -3 \\ 0 & 7 & 6 \\ 4 & 1 & 0 \end{pmatrix}, \quad \mathbf{B} = \begin{pmatrix} 1 & 0 \\ 3 & -5 \\ -2 & 6 \end{pmatrix} \quad \text{and } \mathbf{C} = \begin{pmatrix} 6 & 4 & 3 \\ 1 & 2 & 0 \end{pmatrix}$$

Which of the following **cannot** be calculated?

Circle your answer.
[1 mark]

$\mathbf{AB}$ $\qquad$ $\mathbf{AC}$ $\qquad$ $\mathbf{BC}$ $\qquad$ $\mathbf{A}^2$

\hfill \mbox{\textit{AQA Further AS Paper 1 2018 Q2 [1]}}

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Q1 1 Q2 1 Q3 1 Q4 2 Q5 3 Q6 3 Q7 2 Q8 5 Q9 6 Q10 8 Q11 3 Q12 6 Q13 9 Q14 7 Q15 4 Q16 3 Q17 4 Q18 4 Q19 8