# Solve the unknowns of the linear equations using Matrix Inversion. Show the details of your

Question
Forms of linear equations

Solve the unknowns of the linear equations using Matrix Inversion. Show the details of your work and box the final answers.
$$25W+15X+5Y-5Z=6$$
$$15W+10X+Y-8Z=1$$
$$5W+X+30Y+54Z=3$$
$$-5W-8X+54Y+276Z=-2$$

2021-01-06

### Relevant Questions

Let B be a $$(4\times3)(4\times3)$$ matrix in reduced echelon form.

a) If B has three nonzero rows, then determine the form of B.

b) Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a $$(4\times3)(4\times3)$$ matrix row equivalent to B.

Demonstrate that the system of equations is inconsistent.

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution. Write the solution in vector form. $$\begin{bmatrix} 1 & 0 & −1 & 3 & 9\\ 0 & 1& 2 & −5 & 8\\ 0 & 0 & 0 & 0 & 0 \end{bmatrix}$$

Find the augmented matrix for the following system of linear equations:
$$3x+7y-20z=-4$$
$$5x+12y-34z=-7$$

Given a linear system of equations below. The matrix equation of the linear system is given by: (see image)
Given a linear system of equations below.The matrix equation of the linear system is given by:Ax=b.The determinant of A is 8.Using Cramers's rule find the value for x.
$$x+3y+4z=3$$
$$2z+6y+9z=5$$
$$3x+y-2z=7$$

Find the augmented matrix for the following system of linear equations:
$$\begin{cases}5x+7y-36z=38\\-8x-11y+57z=-60\end{cases}$$

The coefficient matrix for a system of linear differential equations of the form $$y^1=Ay$$  has the given eigenvalues and eigenspace bases. Find the general solution for the system

$$\lambda1=3\Rightarrow \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}$$

$$\lambda2=0\Rightarrow \begin{bmatrix} 1 \\ 5 \\ 1 \end{bmatrix}\begin{bmatrix}2 \\ 1 \\ 4 \end{bmatrix}$$

Determine if (1,3) is a solution to the given system of linear equations.

$$5x+y=8$$

$$x+2y=5$$

Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
$$x-y=2$$
$$x+y=8$$

$$\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}$$
$$13x-6y=17$$
$$26x-12y=8$$