If A = a b d c " then A is invertible if ad A-1 = 1 ad - bc لا d-b -C a bc # 0, in which case If ad bc = 0, then A is not invertible. Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE in any single blank.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If A =
a b
d
c
"
then A is invertible if ad
A-1
=
1
ad - bc
لا
d-b
-C
a
bc # 0, in which case
If ad bc = 0, then A is not invertible.
Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE in any single blank.)
Transcribed Image Text:If A = a b d c " then A is invertible if ad A-1 = 1 ad - bc لا d-b -C a bc # 0, in which case If ad bc = 0, then A is not invertible. Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE in any single blank.)
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Step 1: First we check inverse of A is exist or not

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