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Algebra lineare Esempi
,
Passaggio 1
Write as an augmented matrix for .
Passaggio 2
Write as a linear system of equations.
Passaggio 3
Passaggio 3.1
Move variables to the left and constant terms to the right.
Passaggio 3.1.1
Riordina i fattori in .
Passaggio 3.1.2
Sposta .
Passaggio 3.2
Write the system as a matrix.
Passaggio 3.3
Trova la forma ridotta a scala per righe di Echelon.
Passaggio 3.3.1
Multiply each element of by to make the entry at a .
Passaggio 3.3.1.1
Multiply each element of by to make the entry at a .
Passaggio 3.3.1.2
Semplifica .
Passaggio 3.3.2
Perform the row operation to make the entry at a .
Passaggio 3.3.2.1
Perform the row operation to make the entry at a .
Passaggio 3.3.2.2
Semplifica .
Passaggio 3.3.3
Multiply each element of by to make the entry at a .
Passaggio 3.3.3.1
Multiply each element of by to make the entry at a .
Passaggio 3.3.3.2
Semplifica .
Passaggio 3.3.4
Perform the row operation to make the entry at a .
Passaggio 3.3.4.1
Perform the row operation to make the entry at a .
Passaggio 3.3.4.2
Semplifica .
Passaggio 3.4
Use the result matrix to declare the final solution to the system of equations.
Passaggio 3.5
Write a solution vector by solving in terms of the free variables in each row.
Passaggio 3.6
Write the solution as a linear combination of vectors.
Passaggio 3.7
Write as a solution set.