Linear Algebra Examples

$r = 6 \frac{mi}{hr}$ , $t = 9 hr$

Step 1

Combine $6$ and $\frac{mi}{hr}$ .

$r = 6 \frac{mi}{hr}, t = 9 hr$

Step 2

Write the system of equations in matrix form.

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \end{array}]$

Step 3

Use the result matrix to declare the final solutions to the system of equations.

$r = 0$

$t = 0$

Step 4

The solution is the set of ordered pairs that makes the system true.

$(0, 0)$

Step 5

Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.

$X = [\begin{array}{c} r \\ t \end{array}] = [\begin{array}{c} 0 \\ 0 \end{array}]$