Feb 26, 2023 · When is $A^TA$ invertible? Ask Question Asked 2 years, 9 months ago Modified 2 years, 9 months ago

How can we show that $ (I-A)$ is invertible? Ask Question Asked 13 years, 9 months ago Modified 7 years ago

Prove that $A+I$ is invertible if $A$ is nilpotent [duplicate] Ask Question Asked 13 years, 7 months ago Modified 5 years, 11 months ago

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.

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. …

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

Mar 29, 2017 · Then the associated matrix is invertible (the inverse being the rotation of $-\theta$) but is not diagonalisable, since no non-zero vector is mapped into a multiple of itself by a …

Apr 30, 2018 · By the invertible matrix theorem, one of the equivalent conditions to a matrix being invertible is that its kernel is trivial, i.e. its nullity is zero. I will prove one direction of this …

Apr 28, 2016 · I know that the product matrix of two invertible matrices must be invertible as well, but I am not sure how to prove that. I am trying to show it through the product of determinants …

1 we want to proove that A is invertible if the column vectors of A are linearly independent. we know that if A is invertible than rref of A is an identity matrix so the row vectors of A are linearly …