Advanced Matrix Calculator

Perform complex matrix operations with clean integer results and step-by-step solutions

Operation Settings

Select Matrix Operation

Matrix A Rows

Matrix A Columns

Matrix B Rows

Matrix B Columns

Scalar Value (k)

Power (n)

Matrix Addition: Add corresponding elements of two matrices with the same dimensions.

Identity Matrix

Zero Matrix

Random Matrix

Ones Matrix

Matrix Input

Matrix A

Matrix B

Calculation History

No calculations yet. Perform a calculation to see history.

Step-by-Step Solution

Welcome to the Advanced Matrix Calculator!
Select an operation, enter matrix values, and click "Calculate" to see detailed step-by-step solutions.

Steps

Visualization

Details

Frequently Asked Questions (FAQs) Advanced Matrix Calculator?

What is an advanced matrix calculator?

An advanced matrix calculator is a free online tool that performs complex matrix operations including addition, subtraction, multiplication, determinant calculation, matrix inverse, transpose, eigenvalues, eigenvectors, RREF (Reduced Row Echelon Form), and rank computation with step-by-step solutions.

How do I use the matrix calculator online?

Simply enter your matrix dimensions (rows and columns), input the matrix elements, select your desired operation (multiply, inverse, determinant, etc.), and click calculate. The calculator instantly displays results with detailed step-by-step workings.

Can this calculator solve augmented matrix problems?

Yes, our advanced matrix calculator handles augmented matrices and can solve systems of linear equations using Gaussian elimination, row reduction, and RREF methods with complete solution steps.

What matrix operations are supported?

The calculator supports: matrix addition and subtraction, scalar multiplication, matrix multiplication, transpose, determinant (2×2, 3×3, 4×4, and larger), inverse matrix, eigenvalues and eigenvectors, rank, nullity, row echelon form (REF), and reduced row echelon form (RREF).

How do I calculate matrix determinant step by step?

Enter your square matrix (2×2, 3×3, or larger), select “Determinant” from the operations menu, and click calculate. The calculator shows each cofactor expansion, minor calculation, and simplification step until reaching the final determinant value.

Can I calculate the inverse of a 3x3 matrix?

Yes, the calculator computes matrix inverses for any invertible square matrix (2×2, 3×3, 4×4, or larger). It verifies the determinant is non-zero, then shows the adjugate matrix method or Gauss-Jordan elimination steps.

What is RREF and how does this calculator find it?

RREF (Reduced Row Echelon Form) is the simplest form of a matrix achieved through row operations. The calculator performs elementary row operations—row swapping, scalar multiplication, and row addition—displaying each step until reaching RREF.

How do I multiply two matrices together?

Ensure the number of columns in the first matrix equals the number of rows in the second matrix. Enter both matrices, select “Matrix Multiplication,” and the calculator shows the dot product calculations for each element in the resulting matrix.

Is this matrix calculator free to use?

Yes, the advanced matrix calculator is completely free with no registration required. Perform unlimited calculations for homework, research, or professional work without any cost or subscription.

Can I use this calculator on my mobile phone?

Absolutely! The matrix calculator is fully responsive and mobile-friendly, working seamlessly on smartphones, tablets, and desktop computers. Access it anytime from any device with a web browser.