SOLUTION: {{{A}}} matrix {{{A}}} is called an involutory matrix if {{{A^2= I}}}. Prove that for any involutory matrix {{{A}}} , {{{ A=+1}}},{{{-1}}}

Algebra ->  Finance -> SOLUTION: {{{A}}} matrix {{{A}}} is called an involutory matrix if {{{A^2= I}}}. Prove that for any involutory matrix {{{A}}} , {{{ A=+1}}},{{{-1}}}      Log On


   



Question 1102637: A matrix A is called an involutory matrix if A%5E2=+I. Prove that for any involutory matrix A , +A=%2B1,-1
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
try A =
:
|0 1|
|1 0|
:
A^2 = I but A does not equal I or -I
: