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Aljabar Linear Contoh
,
Langkah 1
Write as an augmented matrix for .
Langkah 2
Write as a linear system of equations.
Langkah 3
Langkah 3.1
Move variables to the left and constant terms to the right.
Langkah 3.1.1
Susun kembali faktor-faktor dalam .
Langkah 3.1.2
Pindahkan .
Langkah 3.2
Write the system as a matrix.
Langkah 3.3
Tentukan bentuk eselon baris yang dikurangi.
Langkah 3.3.1
Multiply each element of by to make the entry at a .
Langkah 3.3.1.1
Multiply each element of by to make the entry at a .
Langkah 3.3.1.2
Sederhanakan .
Langkah 3.3.2
Perform the row operation to make the entry at a .
Langkah 3.3.2.1
Perform the row operation to make the entry at a .
Langkah 3.3.2.2
Sederhanakan .
Langkah 3.3.3
Multiply each element of by to make the entry at a .
Langkah 3.3.3.1
Multiply each element of by to make the entry at a .
Langkah 3.3.3.2
Sederhanakan .
Langkah 3.3.4
Perform the row operation to make the entry at a .
Langkah 3.3.4.1
Perform the row operation to make the entry at a .
Langkah 3.3.4.2
Sederhanakan .
Langkah 3.4
Use the result matrix to declare the final solution to the system of equations.
Langkah 3.5
Write a solution vector by solving in terms of the free variables in each row.
Langkah 3.6
Write the solution as a linear combination of vectors.
Langkah 3.7
Write as a solution set.