# Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A 11

## Question:

Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A_{11 }and A_{22} are invertible.

**Data from in Example 5**

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## Step by Step Answer:

**Related Book For**

## Linear Algebra And Its Applications

**ISBN:** 9781292351216

6th Global Edition

**Authors:** David Lay, Steven Lay, Judi McDonald

**Question Details**

Chapter #

**2**Section: EXERCISES 2.4

Problem: 16

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