All Tasks - Asymptote

Let $A$, $B$, $C$ and $X$ be matrices with real values, and suppose that all the matrices involved have an inverse and the operations involved are all possible. Solve in order of $X$ the following matrix equation: $(B^{-T} X^T)^T - A = C$ Then, considering $$A=\begin{bmatrix} 0 & -1\\ 4 & 1 \end{bmatrix}$$, $$B=\begin{bmatrix} -2 & \frac{3}{2}\\ 1 & -\frac{1}{2} \end{bmatrix}$$ and $$C=\begin{bmatrix} 3 & -1\\ 0 & 2 \end{bmatrix}$$ compute the matrix $X$.

Determine the gradient at which the subway descends into the ground. Enter the absolute value of the slope in percentage. Note: Find a suitable gradient triangle to determine the slope of the subway. You can use the person as a reference object. Make a sketch before your calculation.

The linear function $a\cdot x\;+2\cdot\;y\;=\;24\;-\;a\;$, crosses the x-axis in the point with abscissa $2$. Can you find the parameter $a$?

Can you find the slope of a linear function that passes through the points $A(2,-1)$ and $B(5,2)$?

In the picture, you see the graph of a linear function. Can you determine its slope?

The linear function $y=2x-4$ is given. Which is the zero point of the function, i.e. the point $A$ where the function meets the x-axis.