This precalculus matrices quiz asks 10 multiple-choice questions on matrices and matrix operations, and each answer comes with a short explanation.
Ten multiple-choice questions on matrix dimensions, addition, scalar multiplication, products, determinants and inverses. Choose the best answer, then read the explanation to see the typical mistake. Each question has exactly one correct option.
What are the dimensions of this matrix?
What is the entry in row 2, column 3?
What is the sum of all four entries of \(2A\)?
What is the entry in row 1, column 1 of \(AB\)?
What is the determinant of this matrix?
What is the entry in row 1, column 2 of the inverse of this matrix?
🎉 Quiz complete!
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
- An \(m\times n\) matrix has \(m\) rows and \(n\) columns; entry \(a_{ij}\) sits in row \(i\), column \(j\).
- Add or subtract matrices only when dimensions match; scalar multiplication scales every entry.
- \(AB\) exists when columns of \(A\) equal rows of \(B\), and in general \(AB\neq BA\).
- \(A+O=A\) and \(AI=IA=A\) for the zero matrix \(O\) and identity matrix \(I\).
- For a 2 × 2 matrix, \(\det A=ad-bc\), and \(A^{-1}\) exists exactly when \(\det A\neq 0\).
How to use this precalculus matrices quiz
Retake this precalculus matrices quiz until every answer is right, then move on to the worksheet and the test.
See every chapter on the Precalculus math page.