Tag: MAST10008

  1. Visualising the span of two vectors

    This applet visualises the span of two vectors in R3 using linear combinations.

    melbapplets.ms.unimelb.edu.au/2023/02/01/visualising-the-span-of-two-vectors

  2. Vector equations of lines in R2

    This applet shows a line in R2 and the vector form of its equation.

    melbapplets.ms.unimelb.edu.au/2023/02/01/vector-equations-of-lines-in-r2

  3. Vector equations of planes in R3

    This applet shows a plane in R3 and the vector form of its equation.

    melbapplets.ms.unimelb.edu.au/2023/02/01/vector-equations-of-planes-in-r3

  4. Vector equations of lines in R3

    This applet shows a line in R3 and the vector form of its equation. 

    melbapplets.ms.unimelb.edu.au/2023/02/01/vector-equations-of-lines-in-r3

  5. 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.

    melbapplets.ms.unimelb.edu.au/2023/02/01/visualising-row-addition-on-a-3x3-matrix

  6. 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.

    melbapplets.ms.unimelb.edu.au/2023/02/01/visualising-row-addition-on-a-2x2-matrix

  7. Visualising row, column and solution spaces

    This applet shows the row, column, and solution spaces of a 3x3 matrix M.

    melbapplets.ms.unimelb.edu.au/2023/02/01/visualising-row-column-and-solution-spaces

  8. 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 […]

    melbapplets.ms.unimelb.edu.au/2023/02/01/columns-of-a-matrix-and-the-rank-nullity-theorem

  9. Linear transformations and eigenvectors

    This applet illustrates the effect of a linear transformation in R2 on the unit circle/unit disk, and the geometric meaning of eigenvectors, eigenvalues and determinant.

    melbapplets.ms.unimelb.edu.au/2021/07/12/linear-transformations-and-eigenvectors

  10. Vector projections

    This applet aims to demonstrate visually the projection of a vector u onto a vector v.

    melbapplets.ms.unimelb.edu.au/2021/07/08/vector-projections