Question

Determine whether each matrix has an inverse. If an inverse exists, find it. Picture Below:

Answer 1

@jim_thompson5910

Answer 2

what is the determinant of the matrix in part a)

Answer 3

192?

Answer 4

no, remember you use this formula

D = a*d - b*c

Answer 5

16?

Answer 6

since that determinant isn't 0, this means that an inverse exists for part a)

what's the determinant in part b

Answer 7

0

Answer 8

so that means the matrix in part b doesn't have an inverse

Answer 9

so all you need to find is the inverse for part a

Answer 10

okay but what's the inverse in part a? the question says i have to find it?

Answer 11

yes, do you know how to do that?

Answer 12

if not, then have a look at this page

http://www.mathwords.com/i/inverse_of_a_matrix.htm

Answer 13

wow that is confusing!! can you explain it better?

Answer 14

basically if you have this 2x2 matrix