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Matrix Algebra
The Prompt
With the following matrices,
$$ A=\left(\begin{array}{cc} 3&-1\\ 7&1-2i\\ \end{array}\right) $$
$$ B=\left(\begin{array}{cc} i&1\\ 0&2\\ \end{array}\right) $$
Add A to B.
Multiply A by 2.
Compute AB.
Find the transpose and Hermitian adjoint of A.
Take the determinant of A.
Context
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