+0  
 
0
540
2
avatar

find the inverse of the matrix [ 0 4 ] -6 5

 Oct 19, 2015

Best Answer 

 #1
avatar+118723 
+10

\(\begin{bmatrix} 0 && 4 \\ -6 &&5 \end{bmatrix}\\\\ Determinant = (0*5)-(4*-6)=0+24=24\\ inverse = \frac{1}{24} \begin{bmatrix} 5 && -4 \\ 6 && 0 \end{bmatrix}\)

 

 

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

 Oct 19, 2015
 #1
avatar+118723 
+10
Best Answer

\(\begin{bmatrix} 0 && 4 \\ -6 &&5 \end{bmatrix}\\\\ Determinant = (0*5)-(4*-6)=0+24=24\\ inverse = \frac{1}{24} \begin{bmatrix} 5 && -4 \\ 6 && 0 \end{bmatrix}\)

 

 

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

Melody Oct 19, 2015
 #2
avatar+130511 
+5

 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  !!!!

 

 

cool cool cool

 Oct 19, 2015

0 Online Users