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If A = a b c d then A is invertible if ad - bc # 0, in which case A-1 1 d -b ad-bc-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. Enter sqrt(n) for √n.) 1/√2 1/√2 -1/√2 1/√2 ↓↑

If A = a b c d then A is invertible if ad - bc # 0, in which case A-1 1 d -b ad-bc-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. Enter sqrt(n) for √n.) 1/√2 1/√2 -1/√2 1/√2 ↓↑

Advanced Engineering Mathematics
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 c d then A is invertible if ad - bc # 0, in which case A-1 1 d -b ad-bc-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. Enter sqrt(n) for √n.) 1/√2 1/√2 -1/√2 1/√2 ↓↑
Transcribed Image Text:If A = a b c d then A is invertible if ad - bc # 0, in which case A-1 1 d -b ad-bc-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. Enter sqrt(n) for √n.) 1/√2 1/√2 -1/√2 1/√2 ↓↑
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