Invertible Matrices within a Matrix
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Suppose A, B are invertible matrices of the same size. Show that $$M = begin{bmatrix} 0& A\ B& 0end{bmatrix}$$ is invertible. I don't understand how I could show this. I have learned about linear combinations and spanning in my college class, but I don't know how that would help in this case.
linear-algebra matrices inverse block-matrices
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edited 1 hour ago
Martin Sleziak
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asked 3 hours ago
Baile