I want to construct a matrix A such that:
$ \begin{pmatrix} 0 & B\\ C & D\\ \end{pmatrix} * A = \begin{pmatrix} * & *\\ 0 & *\\ \end{pmatrix} $
where B, C, D $\in K^{n\times n}$.
Construct upper block diagonal matrix from block matrix
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linear-algebra
matrices
matrix-equations
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0try with $n=1$, maybe you`ll find some good idea.. – 2017-02-03
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0I could do n Row-switching transformations, I can not really think of the matrix, but that brings me at least a bit further in calculation the determinant of the left matrix. – 2017-02-03
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0write also $A$ divided in 4 parts, and try to find a good one – 2017-02-03
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0Multiplying with \begin{pmatrix} 0 & 1\\ 1 & 0\\ \end{pmatrix} works when you multiply from the left (switches first row with second one) – 2017-02-03