Linear Algebra Examples

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

Step 1

Raise $899$ to the power of $9$ .

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

Step 2

Multiply $383563458231675000000000000$ by each element of the matrix.

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

Step 3

Simplify each element in the matrix.

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Step 3.1

Multiply $383563458231675000000000000$ by $8$ .

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

Step 3.2

Multiply $383563458231675000000000000$ by $69$ .

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

Step 3.3

Multiply $383563458231675000000000000$ by $9$ .

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

Step 3.4

Multiply $383563458231675000000000000$ by $61$ .

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

Step 3.5

Multiply $383563458231675000000000000$ by $4$ .

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

Step 3.6

Multiply $383563458231675000000000000$ by $5$ .

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

Step 3.7

Multiply $383563458231675000000000000$ by $5$ .

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

Step 3.8

Multiply $383563458231675000000000000$ by $5$ .

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

Step 3.9

Multiply $383563458231675000000000000$ by $4$ .

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

Step 3.10

Multiply $383563458231675000000000000$ by $5$ .

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

Step 3.11

Multiply $383563458231675000000000000$ by $87$ .

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

Step 3.12

Multiply $383563458231675000000000000$ by $7$ .

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