उदाहरण
चरण 1
परिवर्तन का कर्नेल एक सदिश है जो परिवर्तन को शून्य सदिश (रूपांतरण की पूर्व-छवि) के बराबर बनाता है.
चरण 2
सदिश समीकरण से समीकरणों की एक प्रणाली बनाएंँ.
चरण 3
Write the system as a matrix.
चरण 4
चरण 4.1
Perform the row operation to make the entry at a .
चरण 4.1.1
Perform the row operation to make the entry at a .
चरण 4.1.2
को सरल करें.
चरण 4.2
Perform the row operation to make the entry at a .
चरण 4.2.1
Perform the row operation to make the entry at a .
चरण 4.2.2
को सरल करें.
चरण 4.3
Swap with to put a nonzero entry at .
चरण 4.4
Multiply each element of by to make the entry at a .
चरण 4.4.1
Multiply each element of by to make the entry at a .
चरण 4.4.2
को सरल करें.
चरण 4.5
Perform the row operation to make the entry at a .
चरण 4.5.1
Perform the row operation to make the entry at a .
चरण 4.5.2
को सरल करें.
चरण 5
Use the result matrix to declare the final solution to the system of equations.
चरण 6
Write a solution vector by solving in terms of the free variables in each row.
चरण 7
Write the solution as a linear combination of vectors.
चरण 8
Write as a solution set.
चरण 9
The solution is the set of vectors created from the free variables of the system.
चरण 10
का अष्टि उप-स्थान है.