Linear Algebra - Questions with Solutions

Linear algebra questions with solutions and detailed explanations on matrices , spaces, subspaces and vectors , determinants , systems of linear equations and online linear algebra calculators are included.

Matrices

Matrices with Examples and Questions with Solutions .
Inverse Matrix Questions with Solutions .
Add, Subtract and Scalar Multiply Matrices .
Multiplication and Power of Matrices
Eigenvalues and Eigenvectors Questions with Solutions
Row Operations and Elementary Matrices .
Pivots of a Matrix in Row Echelon Form - Examples with Solutions .
Free and Basic Variables of a Matrix - Examples with Solutions .

Spaces, Subspaces and Vectors

Vector Spaces - Examples with Solutions .
Subspaces - Examples with Solutions .
Vectors in ℝⁿ .
Linear Combinations and Span of Vectors .
Linearly Independent and Dependent Vectors - Examples with Solutions .

determinants

Determinant of a Square Matrix .
Find Determinant Using Row Reduction .

Systems of Linear Equations

Gaussian Elimination to Solve Systems - Questions with Solutions .
The Elimination Method in Systems - Questions with Solutions .
Cramer's Rule with Questions and Solutions .

Linear Algebra Calculators

Find the Inverse of a Matrix Using Row Reduction .
Row Echelon Form Calculator .
Row Reduce Agmented Matrices - Calculator .