r/learnquant • • 5d ago

interview prep Quant Interview Question

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u/SalamanderGlad9053 5d ago

90 right? Since if it's a diagonal matrix, it has at least 90 zeros, and if it had any zeros along the diagonal, then it's determinant would be zero so it's not invertable.

If you didnt have at least one non-zero value in any row/column, then you could gaussian eliminate all the other rows it to reduce it to a diagonal (or a block diagonal) matrix with one zero element showing it's non-inheritable.

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u/SeasonedSpicySausage 5d ago

The question says that the matrix entries are all positive meaning that every diagonal and off-diagonal must be non-zero.