# Aljabar Contoh

Langkah 1
Kernel dari transformasi adalah vektor yang membuat transformasinya sama dengan vektor nol (prabayangan dari transformasi).
Langkah 2
Buat sistem persamaan dari persamaan vektor.
Langkah 3
Write the system as a matrix.
Langkah 4
Tentukan bentuk eselon baris yang dikurangi.
Langkah 4.1
Perform the row operation to make the entry at a .
Langkah 4.1.1
Perform the row operation to make the entry at a .
Langkah 4.1.2
Sederhanakan .
Langkah 4.2
Perform the row operation to make the entry at a .
Langkah 4.2.1
Perform the row operation to make the entry at a .
Langkah 4.2.2
Sederhanakan .
Langkah 4.3
Swap with to put a nonzero entry at .
Langkah 4.4
Multiply each element of by to make the entry at a .
Langkah 4.4.1
Multiply each element of by to make the entry at a .
Langkah 4.4.2
Sederhanakan .
Langkah 4.5
Perform the row operation to make the entry at a .
Langkah 4.5.1
Perform the row operation to make the entry at a .
Langkah 4.5.2
Sederhanakan .
Langkah 5
Use the result matrix to declare the final solution to the system of equations.
Langkah 6
Write a solution vector by solving in terms of the free variables in each row.
Langkah 7
Write the solution as a linear combination of vectors.
Langkah 8
Write as a solution set.
Langkah 9
The solution is the set of vectors created from the free variables of the system.
Langkah 10