SOLUTION: Que:If A is an invertible matrix of order 2,then det(A^(-1)) is equal to ?
My solution:
{{{A^(-1)=(1/|A|)*(adj(A))}}}
So, |A^(-1)|={{{|(1/|A|)*(adj(A)|}}}
={{{|
Algebra.Com
Question 187223: Que:If A is an invertible matrix of order 2,then det(A^(-1)) is equal to ?
My solution:
AMP Parsing Error of [A^(-1)=(1/|A|)*(adj(A))]: Invalid expression '|A|)*(adj(A))': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
So, |A^(-1)|=AMP Parsing Error of [|(1/|A|)*(adj(A)|]: Invalid expression '|(1/|A|)*(adj(A)|': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
=AMP Parsing Error of [|(1/|A|)|*|(adj(A))|]: Invalid expression '|(1/|A|)|*|(adj(A))|': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
=AMP Parsing Error of [(1/||A||)*|A|^(n-1)]: Invalid expression '||A||)*|A|^(n-1)': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
=AMP Parsing Error of [|A|^(n-1)/(|A|)]: Invalid expression '|A|^(n-1)/(|A|)': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
Given order =2
=>|A^(-1)|=AMP Parsing Error of [|A|/|A|]: Invalid expression '|A|/|A|': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
=1
Answer given at the back of the textbook is 1/|A|
How to arrive at such a result?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your post was completely gargled.
Cheers,
Stan H.
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