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Solve Truss by the method of joints.  The solution is simplified by recognizing symmetry.

The CSS preamble adds a vertical line down the input for part b, to separate the two parts of the matrix.

Calculate the magnitude of a 3-dimensional vector, where $\mathbf v$ is written in the form $\pmatrix{v_1\\v_2\\v_3}$.

Asks students to find the partil fraction decomposition for a rational function Denominator is a quadratic with distinct factors.

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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Given a 3 x 3 matrix, and two eigenvectors find their corresponding eigenvalues. Also fnd the characteristic polynomial and using this find the third eigenvalue and a normalised eigenvector $(x=1)$.

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