(a) Show that if is a block diagonal matrix, where A and B are square matrices, then det D det A det B (b) Prove that the same holds for a block upper triangular matrix (c) Use this method to compute the determinant of the following matrices (i) (ii) (iii) (iv) 8 det(3 S) det A det B 257 243 5532 2...

a We can individually reduce A and B to upper trian ...

(a) Show that if is a block diagonal matrix, where A and B are square matrices, then...

Question:

(a) Show that if

is a block diagonal matrix, where A and B are square matrices, then det D = det A det B.
(b) Prove that the same holds for a block upper triangular matrix

(ii)

(a) Show that if
is a block diagonal matrix, where A

(iii)

(iv)

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:28 AM

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(a) Show that if is a block diagonal matrix, where A and B are square matrices, then...

Question:

8 det(3 S) = det A det B 257 243 5532 2012 2]00 1300 04-0 2130 1300 0025 0049 1542 5223

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a We can individually reduce A and B to upper trian...View the full answer

Applied Linear Algebra

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