Question

Find the inverse of the matrix 5Cend%7Barray%7D%5Cright%5D" id="TexFormula1" title="\left[\begin{array}{cc}-4&6\\8&-12\\\end{array}\right]" alt="\left[\begin{array}{cc}-4&6\\8&-12\\\end{array}\right]" align="absmiddle" class="latex-formula">
if it exist.

Answer 1

Answer:

D

Step-by-step explanation:

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

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

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

$(-4)(-12)-(8)(6)=0$

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