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Matrix Calculator
🔢 Matrix Calculator
Perform addition, subtraction, multiplication, and determinant calculations on 2×2 or 3×3 matrices — common operations for linear algebra coursework.
Matrix multiplication is not commutative (A×B usually ≠ B×A), and the determinant is only defined for square matrices — both 2×2 and 3×3 here qualify, computed via the standard cofactor expansion for the 3×3 case.
Frequently Asked Questions
Why isn't there a 4×4 or larger option?
Determinant and multiplication calculations get exponentially more complex past 3×3 — this tool focuses on the sizes most common in introductory linear algebra coursework.
Does matrix order matter for multiplication?
Yes — A×B and B×A generally produce different results (or aren't even both defined) unless the matrices have specific properties, so always check which order your problem requires.
What does a determinant of zero mean?
A zero determinant means the matrix is 'singular' — it has no inverse, and the linear system it represents either has no solution or infinitely many.
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