Question

without expanding evaluate the following determinants​

Answer 1

Answer:

Good Question.

Hope it will help you

Answer 2

The value of given determinate is 0.

Step-by-step explanation:

The given determinant is

$\begin{vmatrix}2 & 7 & 65 \\ 3 & 8 & 75\\ 5 & 9 & 86\end{vmatrix}$

Without expanding we need to find the value of determinants.

$C_3\rightarrow C_3-9C_2$

$\begin{vmatrix}2 & 7 & 65-63 \\ 3 & 8 & 75-72\\ 5 & 9 & 86-81\end{vmatrix}$

$\begin{vmatrix}2 & 7 & 2 \\ 3 & 8 & 3\\ 5 & 9 & 5\end{vmatrix}$

If two columns are identical then the value of determinant is 0.

$C_1=C_3$

Therefore, the value of given determinate is 0.

#Learn more

Without expanding, evaluate the following determinant.

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