The discussion centers on the calculation of the inverse of matrix A, defined as A = [[1, 2, 1], [2, -1, 2], [1, 2, 1]]. The determinant of this matrix is calculated to be 0, leading to the conclusion that the inverse is undefined. This is confirmed by the principle that a matrix with a determinant of zero does not possess an inverse, as it fails to represent a one-to-one mapping.
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ZedCar said:Homework Statement
What is the inverse of matrix A?
A=
(1) (2) (1)
(2) (-1) (2)
(1) (2) (1)
Homework Equations
The Attempt at a Solution
The determinant works out to be 0
The inverse is 1/determinant x adj(A)
Therefore the inverse is 1/0 x adj(A)
So is the answer to, what is the inverse, simply that it is undefined?