Prove that $A+I$ is invertible if $A$ is nilpotent [duplicate] Ask Question Asked 13 years, 6 months ago Modified 5 years, 10 months ago

How can we show that $ (I-A)$ is invertible? Ask Question Asked 13 years, 7 months ago Modified 6 years, 10 months ago

Oct 14, 2015 · We also know that every symmetric positive definite matrix is invertible (see Positive definite). It seems that the inverse of a covariance matrix sometimes does not exist. …

If so, then the matrix must be invertible. There are FAR easier ways to determine whether a matrix is invertible, however. If you have learned these methods, then here are two: Put the matrix …

17 Gauss-Jordan elimination can be used to determine when a matrix is invertible and can be done in polynomial (in fact, cubic) time. The same method (when you apply the opposite row …

Jun 4, 2015 · I have a theoretical question. Why are non-square matrices not invertible? I am running into a lot of doubts like this in my introductory study of linear algebra.

Sep 25, 2015 · A function is invertible if and only if it is bijective (i.e. both injective and surjective). Injectivity is a necessary condition for invertibility but not sufficient.

Mar 30, 2013 · That a matrix is invertible means the map it represents is invertible, which means it is an isomorphism between linear spaces, and we know this is possible iff the linear spaces' …

Dec 11, 2016 · An invertible matrix is one that has an inverse. The inverse itself is a matrix. Note that invertible is an adjective, while inverse (in this sense) is a noun, so they clearly cannot be …

I always got taught that if the determinant of a matrix is 0 0 then the matrix isn't invertible, but why is that? My flawed attempt at understanding things: This approaches the subject from a …