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} …

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 …

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 6, 2017 · Which symbol can be used to refer to identity matrix? Ask Question Asked 8 years, 9 months ago Modified 3 years, 9 months ago

How does adding the identity matrix to a square matrix change the determinant? Ask Question Asked 12 years, 10 months ago Modified 7 months ago

Jun 13, 2016 · What is the meaning of subtracting from the identity matrix? Ask Question Asked 9 years, 4 months ago Modified 4 years, 11 months ago

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 …

How many matrices are such that $A^2 =I$, where $A$ is a $2\times2$ matrix and $I$ is a $2\times2$ identity matrix? I can only think of the identity and it negative are they more?

Feb 23, 2015 · Proof: The identity matrix is invertible and the inverse of the identity is the identity Ask Question Asked 10 years, 8 months ago Modified 8 years, 5 months ago

May 19, 2024 · Identity matrix for non-square matrices Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago