Vectors, Matrices & Sets

AdvancedMaths revision

Matrices

Use matrices for structured arithmetic, transformations and small linear systems.

Open calculator

Focus points

✓Add and multiply matrices.

✓Use determinants and inverses.

✓Interpret matrices as transformations.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · matrix addition

Given A=[[2,1],[0,3]] and B=[[4,−1],[5,2]], find A+B.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · matrix multiplication

Compute [[1,2],[3,4]] [[2],[5]].

Question 3FluencyCore

Original practice · Free Online Revision

Skill · determinant

Find det([[3,2],[5,4]]).

Question 4FluencyCore

Original practice · Free Online Revision

Skill · inverse matrix

Find the inverse of [[2,1],[1,1]].

Question 5FluencyCore

Original practice · Free Online Revision

Skill · transformation matrix

Use a matrix to represent reflection in the x-axis.

Question 6FluencyCore

Original practice · Free Online Revision

Skill · matrix transformation

Apply [[0,−1],[1,0]] to vector (3,2).

Question 7ReasoningCore

Original practice · Free Online Revision

Skill · determinant reasoning

Why is a 2×2 matrix with determinant 0 not invertible?

Question 8ChallengeStretch

Original practice · Free Online Revision

Skill · linear systems

Solve x+2y=7 and 3x+4y=17 using matrix/inverse reasoning.