\(\begin{bmatrix} 0 && 4 \\ -6 &&5 \end{bmatrix}\\\\ Determinant = (0*5)-(4*-6)=0+24=24\\ inverse = \frac{1}{24} \begin{bmatrix} 5 && -4 \\ 6 && 0 \end{bmatrix}\)
You should watch this vidoe and then do some more examples from the khanacademy site. :)
https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-of-a-2x2-matrix
\(\begin{bmatrix} 0 && 4 \\ -6 &&5 \end{bmatrix}\\\\ Determinant = (0*5)-(4*-6)=0+24=24\\ inverse = \frac{1}{24} \begin{bmatrix} 5 && -4 \\ 6 && 0 \end{bmatrix}\)
You should watch this vidoe and then do some more examples from the khanacademy site. :)
https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-of-a-2x2-matrix
0 4 1 0
-6 5 0 1 add row 2 to row 1
-6 9 1 1
-6 5 0 1 multiply row 1 by -1 and add it to row 2
-6 9 1 1
0 -4 -1 0 multiply row 2 by -1/4
-6 9 1 1
0 1 1/4 0 multiply row 2 by -9 add it to row 1
-6 0 -5/4 1
0 1 1/4 0 multiply row 1 by -1/6
1 0 5/24 -1/6
0 1 1/4 0
The resulting matrix on the right is the same as Melody's result !!!!