If A = a b c d then A is invertible if ad bc = 0, in which case A-1 = 1 ad - bc d-b -C a 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.) 25 -5 [25-5] 50

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
-1
1
ad - bc
d -b
a
-C
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.)
25 -5
5
0
Transcribed Image Text:If A = a b c d then A is invertible if ad bc = 0, in which case -1 1 ad - bc d -b a -C 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.) 25 -5 5 0
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