Augmented Matrices

Practice Questions

Pre-Calculus › Augmented Matrices

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1

Determine which matrix represents the following system of equations:

2

Determine which matrix represents the following system of equations:

3

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

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

4

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

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

5

Express this system of equations as an augmented matrix:

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

6

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

7

Express this system of equations as an augmented matrix:

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

8

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

9

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

;

;

.

10

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

;

;

.

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