If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 I d -b A-1 ad – bc a Use the formula above to find the inverse of the 2 × 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.) 4 5 -1 6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If A is the 2 × 2 matrix given by
a b
A =
c d
and if ad
bc + 0, the inverse is given by
d -b
1
A-1
ad
bc
a
Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.)
4 5
-1 6
Transcribed Image Text:If A is the 2 × 2 matrix given by a b A = c d and if ad bc + 0, the inverse is given by d -b 1 A-1 ad bc a Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.) 4 5 -1 6
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