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
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
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80f111f6-0d95-4cf8-96b4-3829b811cad3%2F49c3794c-01a9-4d2c-b122-1257cacfad1a%2F1bg3fw8_processed.png&w=3840&q=75)
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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