✏️ Practice Exercises

Matrices

3 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

Determinant of [[3, 1], [2, 4]]:

💡 Show hint

ad − bc.

Your Working

02

medium

A is 3×4, B is 4×2. Shape of AB:

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Inner dims must match; outer dims give result.

Your Working

03

hard

Inverse of [[2, 0], [0, 4]]:

💡 Show hint

Diagonal matrix → reciprocal of diagonal.

Your Working

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