Show that the block upper triangular matrix A in Example 5 is invertible if and only if
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Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A11 and A22 are invertible.
Data from in Example 5
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EXAMPLE 5 A matrix of the form A = [₁ A11 A12 0 A22 is said to be block upper triangular. Assume that A₁ is px p, A22 is q xq, and A is invertible. Find a formula for A-1.
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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