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avatar+124 

is X= [2 -1] the inverse of A= [1/2 1/4]   ?

          6 -4.                              -2  -1/2

Help complete these statements.

 

The product of the matrices ____ the identity matrix. Therefore, X and A ____ inverses of each other. 

 

These are matrices. please fill in the blank spaces. i appreciate you so much for reading. please help?

 Aug 14, 2023
 #1
avatar+129376 
+1

Inverse of a 2 x 2 matrix =

 

1/ (determinant)  [ d  -b ]

                            [ -c  a]

 

det  = (2 *-4)  - (-1 * 6) =   -8 + 6 =   -2

 

So  the inverse matrix  =     (-1/2) [- 4   1  ]  =    [  2    -1/2 ]    

                                                     [  -6    2 ]        [   3    -1 ]      

 

First blank  "equal"

Second blank "are"

 

cool cool cool

 Aug 14, 2023
 #2
avatar+124 
0

Thank you so much CPhill :))

thebestchesscat  Aug 14, 2023

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