Identity

Inverse of matrix plus identity

Inverse of matrix plus identity
  1. What is a inverse into identity matrix?
  2. Is the inverse of the identity the identity?

What is a inverse into identity matrix?

An inverse matrix is a matrix that when multiplied with a given matrix gives the identity matrix. Mathematically this can be written as A - 1 A = I ,where is an square matrix. The equation of an inverse matrix is. If the determinant , then the inverse matrix does not exist.

Is the inverse of the identity the identity?

One more important point: the identity element is always its own inverse. For example, if e is the identity element, then e#e=e. So by definition, when e acts on itself on the left or the right, it leaves itself unchanged and gives the identity element, itself, as the result!

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