Question

Find the value of the determinant (-11 3
-10 4)​

Answer 1

Answer:

required value of given determinant=|-113-104|=|-217|=217

Answer 2

$\displaystyle\begin{vmatrix} - 11 & 3 \\ \\ - 10 & 4 \end{vmatrix} = - 14$

Given :

The determinant

$\displaystyle\begin{vmatrix} - 11 & 3 \\ \\ - 10 & 4 \end{vmatrix}$

To find :

The value of the determinant

Solution :

Step 1 of 2 :

Write down the given determinant

The given determinant is

$\displaystyle\begin{vmatrix} - 11 & 3 \\ \\ - 10 & 4 \end{vmatrix}$

Step 2 of 2 :

Find the value of the determinant

$\displaystyle\begin{vmatrix} - 11 & 3 \\ \\ - 10 & 4 \end{vmatrix}$

$\displaystyle \sf{ = ( - 11 \times 4) - ( - 10 \times 3) }$

$\displaystyle \sf{ = - 44 +30 }$

$\displaystyle \sf{ = - 14 }$

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