Algebra lineare Esempi

Solve Using a Matrix by Elimination 5a+3b+d=90 , 2a+4b+g=64
,
Passaggio 1
Write the system as a matrix.
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
Multiply each element of by to make the entry at a .
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Passaggio 2.3.1
Multiply each element of by 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 3
Use the result matrix to declare the final solution to the system of equations.
Passaggio 4
The solution is the set of ordered pairs that make the system true.