All Tasks - Asymptote

The solution of the system $\begin{cases} 2x+y+z=1 \\ 2y-z=1 \\ 3x+z=1 \end{cases}$ is: (in the resolution use the matrix equation $AX = B$ and the inverse matrix of $A$)

Compute the currents in the electrical circuit shown in the figure.

A system of linear equations can be represented as the matrix equation $A X = B$. Consider the system of linear equations $$ \left\{ \begin{array}{l} 2x+3y+2z=1\\ x+4y-z=0\\ 5x+z=9 \end{array} \right. $$ The matrices $A$, $X$ and $B$ of the system are:

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: $( X A +B )^T = C$

Let $A$, $B$, 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: $A X = B$

Consider the identity matrix $I_4$ and the matrix $$A=\begin{bmatrix} 0&1&1&1\\1& 0&1&1\\1&1&0&1\\1&1&1&0 \end{bmatrix}$$ Knowing that matrix $A^2$ is a linear combination of matrices $A$ and $I_4$, ie, $\exists x,y\in R: A^2 = x A + y I_4$ Which of the following statements is true?