उदाहरण
चरण 1
Nullity is the dimension of the null space, which is the same as the number of free variables in the system after row reducing. The free variables are the columns without pivot positions.
चरण 2
चरण 2.1
Multiply each element of by to make the entry at a .
चरण 2.1.1
Multiply each element of by to make the entry at a .
चरण 2.1.2
को सरल करें.
चरण 2.2
Perform the row operation to make the entry at a .
चरण 2.2.1
Perform the row operation to make the entry at a .
चरण 2.2.2
को सरल करें.
चरण 2.3
Perform the row operation to make the entry at a .
चरण 2.3.1
Perform the row operation to make the entry at a .
चरण 2.3.2
को सरल करें.
चरण 2.4
Perform the row operation to make the entry at a .
चरण 2.4.1
Perform the row operation to make the entry at a .
चरण 2.4.2
को सरल करें.
चरण 2.5
Perform the row operation to make the entry at a .
चरण 2.5.1
Perform the row operation to make the entry at a .
चरण 2.5.2
को सरल करें.
चरण 2.6
Perform the row operation to make the entry at a .
चरण 2.6.1
Perform the row operation to make the entry at a .
चरण 2.6.2
को सरल करें.
चरण 3
The pivot positions are the locations with the leading in each row. The pivot columns are the columns that have a pivot position.
Pivot Positions:
Pivot Columns:
चरण 4
The nullity is the number of columns without a pivot position in the row reduced matrix.