Solve a system of linear equations using Gaussian elimination.

Solve a pair of linear equations by writing an equivalent matrix equation.

Solve a pair of linear equations by writing an equivalent matrix equation.

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Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Solve a pair of linear equations by writing an equivalent matrix equation.

innovation in information

innovation in medicine

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Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Questions on linear programming techniques, with interactive graphics.

Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.

Three questions on linear combinations and products of matrices.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

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5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial.

Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

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Straightforward solving linear equations question

Straightforward solving linear equations question.

Straightforward solving linear equations question

Straightforward solving linear equations question

Straightforward solving linear equations question

Straightforward solving linear equations question

Straightforward solving linear equations question

Straightforward solving linear equations question