Respuesta :

ChefTopeau

The determinant of a 2x2 matrix is defined as

[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

Cricetus

The determinant of the matrix will be "5".

Given matrix is:

  • [tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

Learn more about determinant here:

https://brainly.com/question/20333341

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