QUESTION 1 / 20 · VECTORSEasy
What is (2, 3) + (1, −4)?
MATRIX TRANSFORMER
Reshape the plane with four numbers
The faint square is the unit square; the coloured shape is where your matrix sends it. Its area is the determinant. If the shape flips, the determinant goes negative; if it flattens to a line, it's zero.
Orange is where (1, 0) lands: column 1. Purple is where (0, 1) lands: column 2.
2.5determinant (ad − bc)
Stretch and skewinvertible
What this linear algebra test covers, in short
Twenty multiple-choice questions at first-year university level, four on each of five topics: vectors, matrices, linear systems, determinants, and eigenvalues and spaces. Most work with 2×2 or 3×3 examples you can do by hand.
Vectors are written as columns; matrix products are row-by-column. The test is our own and not normed.
By What's Your IQ · Reviewed 5 Oct 2026- Format
- 20 multiple-choice questions
- Level
- First-year university
- Bonus
- 2×2 matrix transformer, 6 presets
- Used in
- Graphics, machine learning, physics, search ranking