Any vector subject to the identity matrix will give you the same vector back. That is the property of the identity matrix. But in light of eigenvectors and eigenvalues, this also matches the situation …

How does adding the identity matrix to a square matrix change the determinant? Ask Question Asked 12 years, 11 months ago Modified 8 months ago

Jan 6, 2017 · Which symbol can be used to refer to identity matrix? Ask Question Asked 8 years, 11 months ago Modified 3 years, 11 months ago

Nov 30, 2018 · 2 Furthermore if you want a concrete example of a matrix whose square is the identity but not itself a simple matrix consider for example this one: $$\begin {bmatrix}\frac {1} …

Sep 28, 2019 · Yes, this is why it is called the identity matrix. Any matrix multiplied by the identity matrix is the original matrix, just as the multiplicative identity for $\mathbb {R}$ is $1$.

Jan 27, 2011 · The row space of a matrix is a vector subspace. The row space of the identity matrix is just the whole space. A basis on the other hand is a (usually ordered) set of elements …

Apr 17, 2013 · Then $\|\cdot\|$ is a matrix norm with $\|I\| = \pi$. $\textbf {Edit:}$ If you are including the submultiplicativeness in the definition of your matrix norm (The definition of a …

Jun 13, 2016 · What is the meaning of subtracting from the identity matrix? Ask Question Asked 9 years, 5 months ago Modified 5 years ago

Oct 8, 2020 · Thank you. So the identity matrix can't be considered as a rank 2 identity tensor. But the rank 2 identity tensor has the same components of identity matrix. Right?

Apr 23, 2016 · Determinant of the Identity Matrix proof Ask Question Asked 9 years, 7 months ago Modified 9 years, 7 months ago