bm42400
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Find the inverse of the matrix [tex]\left[\begin{array}{cc}-4&6\\8&-12\\\end{array}\right][/tex]
if it exist.

Find the inverse of the matrix texleftbeginarraycc4amp68amp12endarrayrighttex if it exist class=

Respuesta :

Answer:

D

Step-by-step explanation:

If there is a 2x2 matrix as  [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex]

The determinant is given by  [tex]\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

Now, if we calculate the value of "ad - bc", we see that:

[tex](-4)(-12)-(8)(6)=0[/tex]

We can't calculate the inverse, the inverse doesn't exist. The answer is D.