Matrix Calculator
Perform matrix operations online: addition, subtraction, multiplication, determinant, inverse, transpose, and trace. Supports up to 4x4 matrices with step-by-step solutions.
Matrix A
Matrix B
Properties of Matrix A
How to Use Matrix Calculator
- 1Set the matrix dimensions.
- 2Enter the matrix values.
- 3Select the operation to perform.
- 4View the result with step-by-step solution.
Frequently Asked Questions
How do I multiply two matrices?▾
For A(m×n) × B(n×p), each element is the dot product of a row from A and a column from B. The result is an m×p matrix. Columns in A must equal rows in B.
What is a matrix determinant?▾
The determinant is a scalar value from a square matrix. It indicates invertibility (non-zero determinant) and represents the scaling factor of the linear transformation.
When is a matrix invertible?▾
A square matrix is invertible if and only if its determinant is non-zero. The inverse satisfies A × A⁻¹ = I (identity matrix).
About Matrix Calculator
Perform matrix operations online: addition, subtraction, multiplication, determinant, inverse, transpose, and trace. Supports up to 4x4 matrices with step-by-step solutions.
NexTool's Matrix Calculator is completely free to use with no sign-up required. Your data is processed directly in your browser and never sent to our servers, ensuring complete privacy and instant results.
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