Algebra lineare Esempi

Trovare il Nucleo s=[[2,4,6,4],[2,5,7,6],[2,3,5,2]]
Passaggio 1
Write as an augmented matrix for .
Passaggio 2
Trova la forma ridotta a scala per righe di Echelon.
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Passaggio 2.1
Multiply each element of by to make the entry at a .
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Passaggio 2.1.1
Multiply each element of by to make the entry at a .
Passaggio 2.1.2
Semplifica .
Passaggio 2.2
Perform the row operation to make the entry at a .
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Passaggio 2.2.1
Perform the row operation to make the entry at a .
Passaggio 2.2.2
Semplifica .
Passaggio 2.3
Perform the row operation to make the entry at a .
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Passaggio 2.3.1
Perform the row operation to make the entry at a .
Passaggio 2.3.2
Semplifica .
Passaggio 2.4
Perform the row operation to make the entry at a .
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Passaggio 2.4.1
Perform the row operation to make the entry at a .
Passaggio 2.4.2
Semplifica .
Passaggio 2.5
Perform the row operation to make the entry at a .
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Passaggio 2.5.1
Perform the row operation to make the entry at a .
Passaggio 2.5.2
Semplifica .
Passaggio 3
Use the result matrix to declare the final solution to the system of equations.
Passaggio 4
Write a solution vector by solving in terms of the free variables in each row.
Passaggio 5
Write the solution as a linear combination of vectors.
Passaggio 6
Write as a solution set.