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11 I believe your proof is correct. Note that the best way of proving that $\det (A)=\det (A^t)$ depends very much on the definition of the determinant you are using. My personal favorite way of proving it is by giving a definition of the determinant such that $\det (A)=\det (A^t)$ is obviously true.
How do I prove that $\det A= \det A^T$? - Mathematics Stack Exchange
Given two square matrices $A$ and $B$, how do you show that $$\det (AB) = \det (A) \det (B)$$ where $\det (\cdot)$ is the determinant of the matrix?
linear algebra - How to show that $\det (AB) =\det (A) \det (B ...
The meaning of EDITION is the form or version in which a text is published. How to use edition in a sentence.
From artists and musicians to world-class chefs and designers, the EDITION experience is a collaboration of creativity, leaving no stone unturned to make the guest experience nuanced, enchanting, and truly memorable.
EDITION definition: 1. a particular form in which a book, magazine, or newspaper is published: 2. a single broadcast…. Learn more.
The entire number of like or identical items issued or produced as a set: a limited edition of early jazz recordings; a signed edition of a group of lithographs.
the format in which a literary work is published: a one-volume edition of Shakespeare. the whole number of impressions or copies of a book, newspaper, etc., printed from one set of type at one time.
edition: The entire number of copies of a publication issued at one time or from a single set of type.