Álgebra lineal Ejemplos

Hallar el determinante [[1,0,0,1,1,0,0,0,0,0],[1,1,1,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0],[0,1,0,2,1,0,0,0,0,0],[1,1,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,1,1,1,0],[0,0,0,0,0,0,1,1,0,0]]
Paso 1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in row by its cofactor and add.
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Paso 1.1
Consider the corresponding sign chart.
Paso 1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Paso 1.3
The minor for is the determinant with row and column deleted.
Paso 1.4
Multiply element by its cofactor.
Paso 1.5
The minor for is the determinant with row and column deleted.
Paso 1.6
Multiply element by its cofactor.
Paso 1.7
The minor for is the determinant with row and column deleted.
Paso 1.8
Multiply element by its cofactor.
Paso 1.9
The minor for is the determinant with row and column deleted.
Paso 1.10
Multiply element by its cofactor.
Paso 1.11
The minor for is the determinant with row and column deleted.
Paso 1.12
Multiply element by its cofactor.
Paso 1.13
The minor for is the determinant with row and column deleted.
Paso 1.14
Multiply element by its cofactor.
Paso 1.15
The minor for is the determinant with row and column deleted.
Paso 1.16
Multiply element by its cofactor.
Paso 1.17
The minor for is the determinant with row and column deleted.
Paso 1.18
Multiply element by its cofactor.
Paso 1.19
The minor for is the determinant with row and column deleted.
Paso 1.20
Multiply element by its cofactor.
Paso 1.21
The minor for is the determinant with row and column deleted.
Paso 1.22
Multiply element by its cofactor.
Paso 1.23
Add the terms together.
Paso 2
Multiplica por .
Paso 3
Multiplica por .
Paso 4
Multiplica por .
Paso 5
Multiplica por .
Paso 6
Multiplica por .
Paso 7
Multiplica por .
Paso 8
Multiplica por .
Paso 9
Multiplica por .
Paso 10
Multiplica por .
Paso 11
Evalúa .
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Paso 11.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in column by its cofactor and add.
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Paso 11.1.1
Consider the corresponding sign chart.
Paso 11.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Paso 11.1.3
The minor for is the determinant with row and column deleted.
Paso 11.1.4
Multiply element by its cofactor.
Paso 11.1.5
The minor for is the determinant with row and column deleted.
Paso 11.1.6
Multiply element by its cofactor.
Paso 11.1.7
The minor for is the determinant with row and column deleted.
Paso 11.1.8
Multiply element by its cofactor.
Paso 11.1.9
The minor for is the determinant with row and column deleted.
Paso 11.1.10
Multiply element by its cofactor.
Paso 11.1.11
The minor for is the determinant with row and column deleted.
Paso 11.1.12
Multiply element by its cofactor.
Paso 11.1.13
The minor for is the determinant with row and column deleted.
Paso 11.1.14
Multiply element by its cofactor.
Paso 11.1.15
The minor for is the determinant with row and column deleted.
Paso 11.1.16
Multiply element by its cofactor.
Paso 11.1.17
The minor for is the determinant with row and column deleted.
Paso 11.1.18
Multiply element by its cofactor.
Paso 11.1.19
The minor for is the determinant with row and column deleted.
Paso 11.1.20
Multiply element by its cofactor.
Paso 11.1.21
Add the terms together.
Paso 11.2
Multiplica por .
Paso 11.3
Multiplica por .
Paso 11.4
Multiplica por .
Paso 11.5
Multiplica por .
Paso 11.6
Multiplica por .
Paso 11.7
Multiplica por .
Paso 11.8
Multiplica por .
Paso 11.9
Multiplica por .
Paso 11.10
Evalúa .
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Paso 11.10.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in column by its cofactor and add.
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Paso 11.10.1.1
Consider the corresponding sign chart.
Paso 11.10.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Paso 11.10.1.3
The minor for is the determinant with row and column deleted.
Paso 11.10.1.4
Multiply element by its cofactor.
Paso 11.10.1.5
The minor for is the determinant with row and column deleted.
Paso 11.10.1.6
Multiply element by its cofactor.
Paso 11.10.1.7
The minor for is the determinant with row and column deleted.
Paso 11.10.1.8
Multiply element by its cofactor.
Paso 11.10.1.9
The minor for is the determinant with row and column deleted.
Paso 11.10.1.10
Multiply element by its cofactor.
Paso 11.10.1.11
The minor for is the determinant with row and column deleted.
Paso 11.10.1.12
Multiply element by its cofactor.
Paso 11.10.1.13
The minor for is the determinant with row and column deleted.
Paso 11.10.1.14
Multiply element by its cofactor.
Paso 11.10.1.15
The minor for is the determinant with row and column deleted.
Paso 11.10.1.16
Multiply element by its cofactor.
Paso 11.10.1.17
The minor for is the determinant with row and column deleted.
Paso 11.10.1.18
Multiply element by its cofactor.
Paso 11.10.1.19
Add the terms together.
Paso 11.10.2
Multiplica por .
Paso 11.10.3
Multiplica por .
Paso 11.10.4
Multiplica por .
Paso 11.10.5
Multiplica por .
Paso 11.10.6
Multiplica por .
Paso 11.10.7
Multiplica por .
Paso 11.10.8
Multiplica por .
Paso 11.10.9
Evalúa .
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Paso 11.10.9.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in column by its cofactor and add.
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Paso 11.10.9.1.1
Consider the corresponding sign chart.
Paso 11.10.9.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Paso 11.10.9.1.3
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.4
Multiply element by its cofactor.
Paso 11.10.9.1.5
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.6
Multiply element by its cofactor.
Paso 11.10.9.1.7
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.8
Multiply element by its cofactor.
Paso 11.10.9.1.9
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.10
Multiply element by its cofactor.
Paso 11.10.9.1.11
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.12
Multiply element by its cofactor.
Paso 11.10.9.1.13
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.14
Multiply element by its cofactor.
Paso 11.10.9.1.15
The minor for is the determinant with row and column deleted.
Paso 11.10.9.1.16
Multiply element by its cofactor.
Paso 11.10.9.1.17
Add the terms together.
Paso 11.10.9.2
Multiplica por .
Paso 11.10.9.3
Multiplica por .
Paso 11.10.9.4
Multiplica por .
Paso 11.10.9.5
Multiplica por .
Paso 11.10.9.6
Multiplica por .
Paso 11.10.9.7
Multiplica por .
Paso 11.10.9.8
Multiplica por .
Paso 11.10.9.9
Simplifica el determinante.
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Paso 11.10.9.9.1
Suma y .
Paso 11.10.9.9.2
Suma y .
Paso 11.10.9.9.3
Suma y .
Paso 11.10.9.9.4
Suma y .
Paso 11.10.9.9.5
Suma y .
Paso 11.10.9.9.6
Suma y .
Paso 11.10.10
Simplifica el determinante.
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Paso 11.10.10.1
Multiplica por .
Paso 11.10.10.2
Suma y .
Paso 11.10.10.3
Suma y .
Paso 11.10.10.4
Suma y .
Paso 11.10.10.5
Suma y .
Paso 11.10.10.6
Suma y .
Paso 11.10.10.7
Suma y .
Paso 11.10.10.8
Suma y .
Paso 11.11
Simplifica el determinante.
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Paso 11.11.1
Multiplica por .
Paso 11.11.2
Suma y .
Paso 11.11.3
Suma y .
Paso 11.11.4
Suma y .
Paso 11.11.5
Suma y .
Paso 11.11.6
Suma y .
Paso 11.11.7
Suma y .
Paso 11.11.8
Suma y .
Paso 11.11.9
Suma y .
Paso 12
Simplifica el determinante.
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Paso 12.1
Multiplica por .
Paso 12.2
Suma y .
Paso 12.3
Suma y .
Paso 12.4
Suma y .
Paso 12.5
Suma y .
Paso 12.6
Suma y .
Paso 12.7
Suma y .
Paso 12.8
Suma y .
Paso 12.9
Suma y .
Paso 12.10
Suma y .