Systems of Linear Equations (AQA A-Level Further Maths): Quizzes

📚Quizzes
Systems of Linear Equations
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is det⁡(3425)\det\begin{pmatrix} 3 & 4 \\ 2 & 5 \end{pmatrix}?

77

A matrix AA is singular when which condition holds?

det⁡(A)=0\det(A) = 0

Which matrices have an inverse?

Non-singular matrices only

If det⁡(P)=3\det(P) = 3 and det⁡(Q)=4\det(Q) = 4, what is det⁡(PQ)\det(PQ)?

1212

What is the determinant of the identity matrix II?

11

In finding A−1A^{-1}, which elements are swapped?

Leading diagonal elements

If det⁡(A)=5\det(A) = 5, what is det⁡(A−1)\det(A^{-1})?

15\frac{1}{5}

If matrix CC is self-inverse, what are the possible values of det⁡(C)\det(C)?

±1\pm 1

To solve Mx=bM\mathbf{x} = \mathbf{b}, which gives the solution?

x=M−1b\mathbf{x} = M^{-1}\mathbf{b}

What is the inverse of product ABAB?

B−1A−1B^{-1}A^{-1}

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.