Homework Help

What is the inverse matrix of `[[3,8],[2,6]]`

user profile pic

hinkberries | Student, Undergraduate | (Level 1) Honors

Posted April 13, 2012 at 9:49 PM via web

dislike 1 like

What is the inverse matrix of `[[3,8],[2,6]]`

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 13, 2012 at 11:58 PM (Answer #1)

dislike 2 like

The inverse matrix of `[[3, 8],[2,6]]` is given by:

`(1/(3*6 -2*8))*[[6, -8],[-2, 3]]`

=> `(1/(18 - 16))*[[6, -8],[-2, 3]]`

=> `(1/2)*[[6, -8],[-2, 3]]`

=> `[[3, -4],[-1, 3/2]]`

The inverse matrix is `[[3, -4],[-1, 3/2]]` 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes