Let A be a square matrix that can be partitioned as where P and S are square

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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 in block (upper) triangular form. Prove that
det A = (det P)(det S)

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:13 AM

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Let A be a square matrix that can be partitioned as where P and S are square

Question:

o S

Step by Step Answer:

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 the full answer

Linear Algebra A Modern Introduction

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