Question

find the value of the following determinant | 2 -4|
|7 -15|​

Answer 1

Answer:

-2

Step-by-step explanation:

D=2*(-15)-7*(-4)

= -30+28

= -2

Answer 2

$\displaystyle\begin{vmatrix} 2 & - 4 \\ 7 & - 15 \end{vmatrix} = - 2$

Given :

$\displaystyle\begin{vmatrix} 2 & - 4 \\ 7 & - 15 \end{vmatrix}$

To find :

The value of the determinant

Solution :

Step 1 of 2 :

Write down the given determinant

Here the given determinant is

$\displaystyle\begin{vmatrix} 2 & - 4 \\ 7 & - 15 \end{vmatrix}$

Step 2 of 2 :

Find the value of the determinant

$\displaystyle\begin{vmatrix} 2 & - 4 \\ 7 & - 15 \end{vmatrix}$

$\displaystyle \sf{ = [2 \times ( - 15)] -[7 \times ( - 4)] }$

$\displaystyle \sf{ = - 30 + 28 }$

$\displaystyle \sf{ = - 2 }$

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