# Category: Applets

1. ### Solution of the heat equation

This applet shows a solution of the heat equation, a partial differential equation from MAST20029 Engineering Mathematics.
2. ### Visualising the span of two vectors

This applet visualises the span of two vectors in R3 using linear combinations.
3. ### Vector equations of lines in R2

This applet shows a line in R2 and the vector form of its equation.
4. ### Vector equations of planes in R3

This applet shows a plane in R3 and the vector form of its equation.
5. ### Vector equations of lines in R3

This applet shows a line in R3 and the vector form of its equation.
6. ### Visualising row addition on a 3×3 matrix

This applet shows how the determinant is unaffected by the elementary row operation of addition of a scalar multiple of a row to another row.
7. ### Visualising row addition on a 2×2 matrix

This applet shows how the determinant is unaffected by the elementary row operation of addition of a scalar multiple of a row to another row.
8. ### Visualising row, column and solution spaces

This applet shows the row, column, and solution spaces of a 3x3 matrix M.
9. ### Columns of a matrix and the rank-nullity theorem

This applet shows how the column space, solution space, rank and nullity of a matrix M change as you append additional columns. Initially the matrix M has a single column. You can add extra columns to M by editing the text boxes on the right of the applet, and clicking the ‘Append column’ button. The […]
10. ### Exploring areas with hyperbolic and trigonometric functions

This applet explores a geometric interpretation of the parameter t in the parameterisation of the standard hyperbola using cosh and sinh.

Number of posts found: 48