Matrices (AQA GCSE Further Maths): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
The identity matrix
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

12 questions from this quiz

Show

What is the 2×2 identity matrix II?

[1001]\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}

What does the identity matrix act like in regular multiplication?

The number 1

If A\mathbf{A} is any matrix, what is A×I\mathbf{A} \times \mathbf{I} equal to?

A\mathbf{A}

Does the order matter when multiplying a matrix by the identity matrix?

No, AI=IA=A\mathbf{AI} = \mathbf{IA} = \mathbf{A}

As a transformation matrix, what does the identity matrix do to points?

Leaves them exactly where they are

What numbers appear on the main diagonal of the identity matrix?

1s

Why is it called the 'identity' matrix?

It preserves the identity of matrices

What do the 0s in the identity matrix ensure?

No mixing occurs between components

How can you verify if two matrices are inverses of each other?

Check if their product equals I\mathbf{I}

What is another name for the identity matrix when used as a transformation?

The 'do nothing' transformation

How many different 2×2 identity matrices are there?

Only one

What values fill all positions except the main diagonal in the identity matrix?

0s

Explore AQA GCSE Further Maths Revision Notes by Topics

Matrices

Explore AQA GCSE Further Maths Model Answers by Topics

Matrices

Explore AQA GCSE Further Maths Flashcards by Topics

Matrices

Explore AQA GCSE Further Maths Exam Questions by Topics

Matrices

Join 100,000+ GCSE students studying Quizzes with us.

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