Properties of Determinants
Determinants of matrix having different properties but i describe some properties in my assignment.
Example:
If we find the determinant of first matrix and find the determinant of in the separate form of matrix and add determinants of separate matrix that’s equal to the first matrix determinant.
2. Exchange The Rows and Columns: If we exchange any two Rows and Columns to each other than its determinants will be changed by negative sign.
Example:
After any single process negative sign produce. After repeat process again negative sign produce that multiply with first negative sign and make again determinant positive.
3.Multiply Number to Determinant/Row of Matrix:
If we multiply any number to any row of matrix and find the determinant of after the multiplication that’s equal to if we find the determinant first and then multiply a number with determinant.
Example:
Determinants of matrix having different properties but i describe some properties in my assignment.
- Sum or Difference of two Rows:
Example:
If we find the determinant of first matrix and find the determinant of in the separate form of matrix and add determinants of separate matrix that’s equal to the first matrix determinant.
2. Exchange The Rows and Columns: If we exchange any two Rows and Columns to each other than its determinants will be changed by negative sign.
Example:
After any single process negative sign produce. After repeat process again negative sign produce that multiply with first negative sign and make again determinant positive.
3.Multiply Number to Determinant/Row of Matrix:
If we multiply any number to any row of matrix and find the determinant of after the multiplication that’s equal to if we find the determinant first and then multiply a number with determinant.
Example: