Aljabar Linear Contoh

$899^{9} [\begin{array}{c} 8 & 69 & 9 & 61 \\ 4 & 5 & 5 & 5 \\ 4 & 5 & 87 & 7 \end{array}]$

Langkah 1

Naikkan $899$ menjadi pangkat $9$ .

$383563458231675000000000000 [\begin{array}{c} 8 & 69 & 9 & 61 \\ 4 & 5 & 5 & 5 \\ 4 & 5 & 87 & 7 \end{array}]$

Langkah 2

Kalikan $383563458231675000000000000$ dengan setiap elemen di dalam matriks tersebut.

$[\begin{array}{c} 383563458231675000000000000 \cdot 8 & 383563458231675000000000000 \cdot 69 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3

Sederhanakan setiap elemen dalam matriks.

Ketuk untuk lebih banyak langkah...

Langkah 3.1

Kalikan $383563458231675000000000000$ dengan $8$ .

$[\begin{array}{c} 3068507665853400000000000000 & 383563458231675000000000000 \cdot 69 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.2

Kalikan $383563458231675000000000000$ dengan $69$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.3

Kalikan $383563458231675000000000000$ dengan $9$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.4

Kalikan $383563458231675000000000000$ dengan $61$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.5

Kalikan $383563458231675000000000000$ dengan $4$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.6

Kalikan $383563458231675000000000000$ dengan $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.7

Kalikan $383563458231675000000000000$ dengan $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.8

Kalikan $383563458231675000000000000$ dengan $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.9

Kalikan $383563458231675000000000000$ dengan $4$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.10

Kalikan $383563458231675000000000000$ dengan $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.11

Kalikan $383563458231675000000000000$ dengan $87$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 33370020866155725000000000000 & 383563458231675000000000000 \cdot 7 \end{array}]$

Langkah 3.12

Kalikan $383563458231675000000000000$ dengan $7$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 33370020866155725000000000000 & 2684944207621725000000000000 \end{array}]$