SOLUTION: Consider the following matrix. A = 2, 0, 3, 1, 1, -1, 0, 1, -2, Choose the correct description of A Find A^−1 if it exists.

Algebra ->  Matrices-and-determiminant -> SOLUTION: Consider the following matrix. A = 2, 0, 3, 1, 1, -1, 0, 1, -2, Choose the correct description of A Find A^−1 if it exists.       Log On


   



Question 1068624: Consider the following matrix.
A =
2, 0, 3,
1, 1, -1,
0, 1, -2,

Choose the correct description of A
Find A^−1 if it exists.
Answer either Choice 1, or Choice 2:
CHOICE 1:
A is nonsingular; that is, it has an inverse.
A^-1 = _________

or CHOICE 2 :
A is singular; that is, it's inverse DOES NOT EXIST.


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Check A's determinant,
abs%28A%29=1
The inverse does exist.