Solve a System of Equations in Three Variables Using Augmented Matrices

Practice Questions

Pre-Calculus › Solve a System of Equations in Three Variables Using Augmented Matrices

Questions

7

1

Determine which matrix represents the following system of equations:

2

$\begin{bmatrix} 14 \ 25 \end{bmatrix} = \begin{bmatrix} x + y \ x - y \end{bmatrix}$

True or false: there is no solution that makes this matrix equation true.

3

Express this system of equations as an augmented matrix:

$\y=3x+2-7z\ y=12x-5+2z\ 3=5x+3y-z$

4

$A = \begin{bmatrix} 0.7 & -0.4 \ -0.8 & 0.2 \end{bmatrix}$ and $B= \begin{bmatrix} 0. 3 & 0.4 \ 0.8 & 0.8 \end{bmatrix}$ .

True or false: , where is the two-by-two identity matrix.

5

Determine which 3x3 matrix represents the following system of equations:

;

;

.

6

Using an augmented matrix, solve the following system of equations:

Which of the following are the values of ,,and that satisfy this system?

7

Using the Reduced Row Echelon Method, the solution matrix to the system of equations reads

Screen shot 2020 07 30 at 11.31.42 am

Which of the following is the accurate depiction of this matrix?

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