$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.

Reading information from the equation of the line. Graph shown

Rebelmaths

Reading information from the equation of the line. Graph shown

Rebelmaths

Practice finding parallel and perpendicular lines to a given line.

rebelmaths

aij  notation and definition of the order of a matrix.

Coordinate Geometry of the line. Equations of lines.

rebelmaths

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

Multiplying two 2 x 2 matrices.

Multiplying two 2 x 2 matrices.

Identifying straight-line equations, and correlations.

Looking at gradients and values for x and y for straight-line graphs

Completing a table of x and y values from a straight line graph equation.

Data types and graph types

Question about the interior angles in simple shapes

This quiz poses questions on arithmetic progressions, geometric progressions and binomial series expansions.

Data type for line graph

Data type for scatter graphs

Simple Linear Equations involving basic transposition.

Composite functions.

Composite functions.

Sin(x) =? Sin(2x)

Chain rule

Chain rule

Chain rule

Chain rule

Problem on a closed cylindrical tank having minimum surface area

Maximising the volume of a rectangular box

Quotient rule

Product rule