If A = a b c d then A is invertible if ad- bc = 0, in which case A-1 = 1 -b ² bed b a ad - bc 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.) 64 -8 8 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If A =
a b
c d
then A is invertible if ad- bc = 0, in which case
A-1 =
1
-b
² bed b
a
ad - bc
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.)
64 -8
8
0
Transcribed Image Text:If A = a b c d then A is invertible if ad- bc = 0, in which case A-1 = 1 -b ² bed b a ad - bc 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.) 64 -8 8 0
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