Question

Evaluate

|265. 240 219|

|240 225 198|

|219 198 181|

Using matrics and determinants
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Answer 1

Given: Determinant with elements: 265 240 219 240 225 198 219 198 181

To find: Value of the determinant.

Solution:

• To, solve the determinant we need to apply the formula of solving it :

• If R1 = a, b, R2= c, d are elements in the determinant, the value of determinant is ad-bc.

• Applying the same formula we get:

                {265 x ((225 x 181) - (198 x 198))} - {240 x ((240 x 181) - (198 x 219))} +  {219 x ((240x198)-(225x219))}

• Now simplyfing it, we get:

                {265 x ((40725) - (39204))} - {240 x ((43440) - (43362))} + {219 x ((47520)-(49275))}

• Now first subtracting the terms, we get:

               = {265 x (1521)} - {240 x (78)} + {219 x (-1755)}

               = 403065 - 18720 - 384345

               = 384345 - 384345

               = 0

Answer:

                  So the value of the given determinant is 0.