Find the inverse of the following matrix A, if possible. Check that AA^(-1)=I and A^(-1)A=I A=[[7,4],[7,7]] The inverse, A^(-1) is?

Damien Horton 2022-07-31 Answered
Find the inverse of the following matrix A, if possible. Check that A A 1 = I and A 1 A = I
A = [ 7 4 7 7 ]
The inverse, A 1 is ?
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Answers (2)

Izabelle Frost
Answered 2022-08-01 Author has 13 answers
1 a b b c [ d b c a ]
1 49 28 [ 7 4 7 7 ]
Answer:
[ 1 / 3 4 / 21 1 / 3 1 / 3 ]
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Elisabeth Esparza
Answered 2022-08-02 Author has 1 answers
A = [ 7 4 7 7 ] ,   f i n d   A 1 .
Inverse of a 2 × 2 matrix:
If A = [ a b c d ]   t h e n   A 1 = 1 a d b c [ d b c a ] . If ad-bc=0, then A has no inverse.
So, A 1 = 1 7 7 4 7 [ 7 4 7 7 ] = 1 21 [ 7 4 7 7 ] = [ 7 21 4 21 7 21 7 21 ] = [ 1 3 4 21 1 3 1 3 ]
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