Question: Let A be a square matrix that can be partitioned as where P and S are square matrices. Such a matrix is said to be

Let A be a square matrix that can be partitioned as
Let A be a square matrix that can be partitioned

where P and S are square matrices. Such a matrix is said to be in block (upper) triangular form. Prove that
det A = (det P)(det S)

o S

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Since P and S are both square suppose P is n n and S is m m Then O is m 1 n and Q is n m Proceed by ... View full answer

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