उदाहरण
चरण 1
चरण 1.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in row by its cofactor and add.
चरण 1.1.1
Consider the corresponding sign chart.
चरण 1.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
चरण 1.1.3
The minor for is the determinant with row and column deleted.
चरण 1.1.4
Multiply element by its cofactor.
चरण 1.1.5
The minor for is the determinant with row and column deleted.
चरण 1.1.6
Multiply element by its cofactor.
चरण 1.1.7
The minor for is the determinant with row and column deleted.
चरण 1.1.8
Multiply element by its cofactor.
चरण 1.1.9
Add the terms together.
चरण 1.2
को से गुणा करें.
चरण 1.3
को से गुणा करें.
चरण 1.4
का मान ज्ञात करें.
चरण 1.4.1
मैट्रिक्स का निर्धारक सूत्र का उपयोग करके पता किया जा सकता है.
चरण 1.4.2
सारणिक को सरल करें.
चरण 1.4.2.1
प्रत्येक पद को सरल करें.
चरण 1.4.2.1.1
को से गुणा करें.
चरण 1.4.2.1.2
को से गुणा करें.
चरण 1.4.2.2
में से घटाएं.
चरण 1.5
सारणिक को सरल करें.
चरण 1.5.1
को से गुणा करें.
चरण 1.5.2
और जोड़ें.
चरण 1.5.3
और जोड़ें.
चरण 2
Since the determinant is non-zero, the inverse exists.
चरण 3
Set up a matrix where the left half is the original matrix and the right half is its identity matrix.
चरण 4
चरण 4.1
Multiply each element of by to make the entry at a .
चरण 4.1.1
Multiply each element of by 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
Multiply each element of by to make the entry at a .
चरण 4.3.1
Multiply each element of by to make the entry at a .
चरण 4.3.2
को सरल करें.
चरण 4.4
Perform the row operation to make the entry at a .
चरण 4.4.1
Perform the row operation to make the entry at a .
चरण 4.4.2
को सरल करें.
चरण 4.5
Multiply each element of by to make the entry at a .
चरण 4.5.1
Multiply each element of by to make the entry at a .
चरण 4.5.2
को सरल करें.
चरण 4.6
Perform the row operation to make the entry at a .
चरण 4.6.1
Perform the row operation to make the entry at a .
चरण 4.6.2
को सरल करें.
चरण 4.7
Perform the row operation to make the entry at a .
चरण 4.7.1
Perform the row operation to make the entry at a .
चरण 4.7.2
को सरल करें.
चरण 4.8
Perform the row operation to make the entry at a .
चरण 4.8.1
Perform the row operation to make the entry at a .
चरण 4.8.2
को सरल करें.
चरण 5
The right half of the reduced row echelon form is the inverse.