18. determinants using properties of determinants example ( Enter your problem )

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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