Matrix Calculator - Calculator See


Matrix Calculator

Perform matrix addition, multiplication, determinants, transpositions, and matrix inversions for 2x2 and 3x3 matrices.

Calculator Inputs

Row 1 Col 1
Row 1 Col 2
Row 2 Col 1
Row 2 Col 2

Calculated Results

Matrix Determinant det(A)
-2.000
Matrix Invertible? Yes (det != 0)
Matrix Trace tr(A) 5.000
Matrix Dimension 2 x 2 Square Matrix
Values calculate live as you adjust inputs.

About Matrix Calculator

Evaluates linear algebra matrix operations including 2×2 determinants, matrix transposes, and matrix inverses.

What is Matrix Calculator?

Evaluates linear algebra matrix operations including 2x2 determinants, matrix transposes, and matrix inverses.

How to Use This Calculator

  1. Enter matrix cell values for matrix A.
  2. Review computed determinant, trace, and inverted matrix coefficients.

The Mathematical Formula & Variables

det(A) = a*d - b*c; A^-1 = (1/det) * [[d, -b], [-c, a]]

Step-by-Step Worked Example

Scenario: Matrix A = [[1, 2], [3, 4]].

  1. det(A) = (1 * 4) - (2 * 3) = 4 - 6 = -2.
  2. Inverse = (1/-2) * [[4, -2], [-3, 1]] = [[-2, 1], [1.5, -0.5]].

Result: Determinant = -2

Frequently Asked Questions

What does a determinant of zero mean?

If det(A) = 0, the matrix is singular (non-invertible) and its columns are linearly dependent.