Respuesta :

LammettHash
Using the rule for 2x2 matrices,

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

the determinant for your matrix is

[tex]\begin{vmatrix}5&-4\\8&2\end{vmatrix}=5\times2-(-4)\times8=42[/tex]

Answer:

Option C, 42

Step-by-step explanation:

As you have mentioned the matrix in the comment section. We have to find the determinant.

A = [tex]\begin{bmatrix}5 & -4\\ 8 & 2\end{bmatrix}[/tex]

Now determinant of this matrix will be written as

|A| = 5 × 2 - 8 ( -4 )

    = 10 + 32

    = 42

Option C is the answer.

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