# Category: Applets

1. ### Vector equations of lines in R3

This applet shows a line in R3 and the vector form of its equation.
2. ### 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.
3. ### 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.
4. ### Visualising row, column and solution spaces

This applet shows the row, column, and solution spaces of a 3x3 matrix M.
5. ### 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 […]
6. ### 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.
7. ### Tangency: chords, tangents and velocity of a parametric curve

This applet explores the velocity vector of a parametric curve, and its relationship to the chord r(t+h)-r(t) and the difference quotient.
8. ### Confidence intervals, hypothesis testing and p-values

This applet illustrates the connection between a confidence interval, a formal hypothesis test, and the p-value of a hypothesis test.
9. ### Power of a hypothesis test

This applet gives a visualisation of the concept of statistical power, and helps illustrate the relationship between power, sample size, standard deviation and difference between the means.
10. ### Partitioning of variability in regression

This applet illustrates partitioning of variability into explained (fitted) and unexplained (residual) variability.

Number of posts found: 54