Question
Directions:
Does the following inverse of [2 6 exist?
1 3]
If it isn't an inverse, explain why.
Does the following inverse of [2 6 exist?
1 3]
If it isn't an inverse, explain why.
Answers
S
The inverse of a 2x2 matrix is given by:
A=[a b A^1=1/ad-bc[d -b
c d]. -c a].
If these two multiplied by each other gives the "identity matrix": [1 0
0 1].
then the inverse exists.
A=[a b A^1=1/ad-bc[d -b
c d]. -c a].
If these two multiplied by each other gives the "identity matrix": [1 0
0 1].
then the inverse exists.
Steve
The determinant
|2 6|
|1 3| = 6-6 = 0
So, there is no inverse
|2 6|
|1 3| = 6-6 = 0
So, there is no inverse