Question

|0/6 -5/4|find the determinant​

Answer 1

Answer:

30

Step-by-step explanation:

Appropriate Question :

$\left|\begin{array}{cc}0&-5\\6&4\end{array}\right|$

To find :

The value of the given determinant

Solution :

We know that, the determinant of 2 × 2 matrix is,

$\boxed{\left|\begin{array}{cc}a&b\\c&d\end{array}\right| = ad - bc }$

Here, a = 0, b = -5, c = 6, d = 4

Thus,

$\longmapsto \left|\begin{array}{cc}0&-5\\6&4\end{array}\right|$

$\implies \mathrm{0(4)- (-5)(6)}$

$\implies \mathrm{0 - (-30)}$

$\implies \mathrm{30}$

$\therefore \underline{\boxed{\left|\begin{array}{cc}0&-5\\6&4\end{array}\right| = 30}}$

Thus, the value of given determinant is 30.

❖ Extra information:

⟡ The determinant of 3 × 3 matrix is :

$\longmapsto \left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| = a(ei-fh) - b(di - fg) + c(dh-eg)$

Hope it helps!!