Matrix Calculator: Add, Multiply & Find Determinant | Free

A 2×2, 3×3, and 4×4 matrices. The size can be changed with the dropdown menus.

A Yes, as long as the number of columns in matrix A equals the number of rows in matrix B (for A×B).

A The determinant is a scalar value computed from a square matrix that indicates whether the matrix is invertible. det(A) = 0 means the matrix is singular.

A Matrix multiplication is not commutative (A×B ≠ B×A in general). Each element is the dot product of a row from A and a column from B.

A Our matrix calculator's step-by-step results are perfect for both learning and verification. For students, it demystifies complex calculations like matrix multiplication or determinant finding, showing each intermediate stage. Professionals can use it to quickly double-check critical matrix operations, ensuring accuracy in data analysis or engineering tasks. It’s an essential tool for solidifying understanding and validating results efficiently.

A Absolutely! Our free matrix calculator is an excellent tool for students and educators. The step-by-step results feature allows you to not only see the final answer but also understand each intermediate calculation for addition, subtraction, multiplication, transpose, and determinants. This helps in catching errors in your own work, solidifying your understanding of matrix operations, and effectively preparing for exams.

A Yep, it absolutely does. You can input negative integers and decimal values for your matrix elements. For instance, you could have a matrix like [[-1.5, 3], [0.2, -4]]. The calculator processes these just fine for all operations. Just make sure to use the correct decimal notation.

A That happens when you try to compute a determinant on a non-square matrix. Determinants only exist for square matrices (2×2, 3×3, or 4×4). If you've selected a 2×3 matrix and click determinant, the tool can't produce a value. Switch to a square size using the dropdown menus, then try again.

A Yes, it does. For a 3×2 matrix, the transpose flips it to 2×3. The step-by-step view highlights each row-to-column swap. You'll see the original rows become new columns, one by one. This makes it clear how the operation works, not just the final result.