Matemática discreta Ejemplos

$[\begin{array}{c} 1 & 1 & 1 & 280 \\ 8000000 & 25000 & 30000 & 40000 \end{array}]$

Paso 1

Perform the row operation $R_{2} = R_{2} - 8000000 R_{1}$ to make the entry at $2, 1$ a $0$ .

Toca para ver más pasos...

Paso 1.1

Perform the row operation $R_{2} = R_{2} - 8000000 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & 1 & 1 & 280 \\ 8000000 - 8000000 \cdot 1 & 25000 - 8000000 \cdot 1 & 30000 - 8000000 \cdot 1 & 40000 - 8000000 \cdot 280 \end{array}]$

Paso 1.2

Simplifica $R_{2}$ .

$[\begin{array}{c} 1 & 1 & 1 & 280 \\ 0 & - 7975000 & - 7970000 & - 2239960000 \end{array}]$

Paso 2

Multiply each element of $R_{2}$ by $- \frac{1}{7975000}$ to make the entry at $2, 2$ a $1$ .

Toca para ver más pasos...

Paso 2.1

Multiply each element of $R_{2}$ by $- \frac{1}{7975000}$ to make the entry at $2, 2$ a $1$ .

$[\begin{array}{c} 1 & 1 & 1 & 280 \\ - \frac{1}{7975000} \cdot 0 & - \frac{1}{7975000} \cdot - 7975000 & - \frac{1}{7975000} \cdot - 7970000 & - \frac{1}{7975000} \cdot - 2239960000 \end{array}]$

Paso 2.2

Simplifica $R_{2}$ .

$[\begin{array}{c} 1 & 1 & 1 & 280 \\ 0 & 1 & \frac{1594}{1595} & \frac{15448}{55} \end{array}]$

Paso 3

Perform the row operation $R_{1} = R_{1} - R_{2}$ to make the entry at $1, 2$ a $0$ .

Toca para ver más pasos...

Paso 3.1

Perform the row operation $R_{1} = R_{1} - R_{2}$ to make the entry at $1, 2$ a $0$ .

$[\begin{array}{c} 1 - 0 & 1 - 1 & 1 - \frac{1594}{1595} & 280 - \frac{15448}{55} \\ 0 & 1 & \frac{1594}{1595} & \frac{15448}{55} \end{array}]$

Paso 3.2

Simplifica $R_{1}$ .

$[\begin{array}{c} 1 & 0 & \frac{1}{1595} & - \frac{48}{55} \\ 0 & 1 & \frac{1594}{1595} & \frac{15448}{55} \end{array}]$