let $\Bbb{L}$ be the vector space of all linear operators $L: V \to V$, where $V$ is an n-dimensional vector space. Is there a way to find the dimension of $\Bbb{L}$ and if so how?
2026-03-31 03:58:39.1774929519
Finding Dimensions of a Vector Space of Linear Transformations
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Hint: If you fix a basis of $V$, then there is a natural bijection between $\mathbb L$ and the space of all $n\times n$ matrices with entries in whatever field you're working with, right?!