Algebra 2 - determinants

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Let r be a scalar and let A be any 2X2 matrix. Show that (rA)=r^2 det A. 

Oct 11th, 2015

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let A=  (a,b) 

            (c,d)

rA = (ra,rb) 

         (rc,rd)

det (rA) = r(a,b)

                 (rc,rd)

=              r^2 (a,b)  =r^2 det(A)

                      (c,d)

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Oct 11th, 2015

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