Examples for

Step-by-Step Linear Algebra

Matrix Properties

Compute properties of a matrix step by step:


Find the determinant step by step with various methods:

Null Space

Find the null space of a matrix:

Vector Arithmetic

See how to compute a dot product:

Compute a cross product step by step:

Matrix Arithmetic

See the steps to multiply matrices:

Invert a matrix one step at a time:

Row Reduction

Write a matrix in reduced row echelon form one step at a time:

Eigenvalues & Eigenvectors

Compute eigenvalues and eigenvectors step by step:

Vector Norm

Calculate a vector norm or length:


Free Unlimited Linear Algebra Practice Problems


  • Linear Algebra
  • Matrices
  • Vectors
  • Rank & Nullity

    Find the rank of a matrix:

    Find the nullity of a matrix:

    Characteristic Polynomial

    Find the characteristic polynomial of a matrix:

    Linear Independence

    Determine the linear independence of vectors step by step:

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