Finite Math Examples

[\begin{matrix} 1 & 1 & 1 & 26 7000 & 14000 & 28000 & 434000 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 7000 & 14000 & 28000 & 434000 \end{array}]$

Step 1

Perform the row operation

R_{2} = R_{2} - 7000 R_{1}

$R_{2} = R_{2} - 7000 R_{1}$ to make the entry at

2, 1

$2, 1$ a

0

$0$ .

Tap for more steps...

Step 1.1

Perform the row operation

R_{2} = R_{2} - 7000 R_{1}

$R_{2} = R_{2} - 7000 R_{1}$ to make the entry at

2, 1

$2, 1$ a

0

$0$ .

[\begin{matrix} 1 & 1 & 1 & 26 7000 - 7000 \cdot 1 & 14000 - 7000 \cdot 1 & 28000 - 7000 \cdot 1 & 434000 - 7000 \cdot 26 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 7000 - 7000 \cdot 1 & 14000 - 7000 \cdot 1 & 28000 - 7000 \cdot 1 & 434000 - 7000 \cdot 26 \end{array}]$

Step 1.2

Simplify

R_{2}

$R_{2}$ .

[\begin{matrix} 1 & 1 & 1 & 26 0 & 7000 & 21000 & 252000 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 0 & 7000 & 21000 & 252000 \end{array}]$

[\begin{matrix} 1 & 1 & 1 & 26 0 & 7000 & 21000 & 252000 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 0 & 7000 & 21000 & 252000 \end{array}]$

Step 2

Multiply each element of

R_{2}

$R_{2}$ by

\frac{1}{7000}

$\frac{1}{7000}$ to make the entry at

2, 2

$2, 2$ a

1

$1$ .

Tap for more steps...

Step 2.1

Multiply each element of

R_{2}

$R_{2}$ by

\frac{1}{7000}

$\frac{1}{7000}$ to make the entry at

2, 2

$2, 2$ a

1

$1$ .

[\begin{matrix} 1 & 1 & 1 & 26 \frac{0}{7000} & \frac{7000}{7000} & \frac{21000}{7000} & \frac{252000}{7000} \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ \frac{0}{7000} & \frac{7000}{7000} & \frac{21000}{7000} & \frac{252000}{7000} \end{array}]$

Step 2.2

Simplify

R_{2}

$R_{2}$ .

[\begin{matrix} 1 & 1 & 1 & 26 0 & 1 & 3 & 36 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 0 & 1 & 3 & 36 \end{array}]$

[\begin{matrix} 1 & 1 & 1 & 26 0 & 1 & 3 & 36 \end{matrix}]

$[\begin{array}{c} 1 & 1 & 1 & 26 \\ 0 & 1 & 3 & 36 \end{array}]$

Step 3

Perform the row operation

R_{1} = R_{1} - R_{2}

$R_{1} = R_{1} - R_{2}$ to make the entry at

1, 2

$1, 2$ a

0

$0$ .

Tap for more steps...

Step 3.1

Perform the row operation

R_{1} = R_{1} - R_{2}

$R_{1} = R_{1} - R_{2}$ to make the entry at

1, 2

$1, 2$ a

0

$0$ .

[\begin{matrix} 1 - 0 & 1 - 1 & 1 - 3 & 26 - 36 0 & 1 & 3 & 36 \end{matrix}]

$[\begin{array}{c} 1 - 0 & 1 - 1 & 1 - 3 & 26 - 36 \\ 0 & 1 & 3 & 36 \end{array}]$

Step 3.2

Simplify

R_{1}

$R_{1}$ .

[\begin{matrix} 1 & 0 & - 2 & - 10 0 & 1 & 3 & 36 \end{matrix}]

$[\begin{array}{c} 1 & 0 & - 2 & - 10 \\ 0 & 1 & 3 & 36 \end{array}]$

[\begin{matrix} 1 & 0 & - 2 & - 10 0 & 1 & 3 & 36 \end{matrix}]

$[\begin{array}{c} 1 & 0 & - 2 & - 10 \\ 0 & 1 & 3 & 36 \end{array}]$