18. determinants using properties of determinants example ( Enter your problem )
  1. Example-1
  2. Example-2
Other related methods
  1. Reduce matrix to Row Echelon Form
  2. Rank of matrix
  3. Characteristic polynomial of matrix
  4. Eigenvalues
  5. Eigenvectors
  6. Triangular Matrix
  7. LU Decomposition of matrix
  8. Diagonal Matrix
  9. Cholesky Decomposition
  10. QR Decomposition (Gram Schmidt Method)
  11. QR Decomposition (Householder Method)
  12. LQ Decomposition
  13. Pivots
  14. Singular Value Decomposition (SVD)
  15. Moore-Penrose Pseudoinverse
  16. Power Method for dominant eigenvalue
  17. determinants using Sarrus Rule
  18. determinants using properties of determinants

1. Example-1



1. Find value of determinant using properties of determinants ...
`[[201,210,220],[151,155,140],[50,55,80]]`


Solution:
 `A=` 
 201  210  220 
 151  155  140 
 50  55  80 


Now, `R_1 = R_1 - R_2`

 `=` 
 50  55  80 
 151  155  140 
 50  55  80 


Here `R_3 = R_1`, So value of the determinant is 0

`=0`
2. Find value of determinant using properties of determinants ...
`[[1977,1979,1981],[1940,1943,1946],[10,17,24]]`


Solution:
 `A=` 
 1977  1979  1981 
 1940  1943  1946 
 10  17  24 


Now, `C_2 = C_2 - C_1` and `C_3 = C_3 - C_2`

 `=` 
 1977  2  2 
 1940  3  3 
 10  7  7 


Here `C_2 = C_3`, So value of the determinant is 0

`=0`


This material is intended as a summary. Use your textbook for detail explanation.
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