List of Interactive Visualizations

1. Linear combinations and span of two vectors in \(\bf R^3\)
2. Linear independence, span and basis of two vectors in \(\bf R^2\)
3. Linear indepdendence, span and basis property of several vectors in \(\bf R^3\)
4. Linear map from \(\bf R^2\) to \(\bf R^2\)
5. Linear maps from \(\bf R^3\) to \(\bf R^3\) with different ranks
6. Determinant of a \(2 \times 2\)-matrix, area and orientation
7. Eigenvectors and eigenspaces of \(2 \times 2\)-matrices
8. \(2 \times 2\)-matrices and their associated bilinear forms
9. Orthogonal projection of a vector in \(\bf R^3\)
10. Affine planes in \(\bf R^3\)
11. A plane and a line in \(\bf R^3\)
12. Two lines in \(\bf R^3\)
13. Distance of a point to a line in \(\bf R^2\)