Question

Matrix A is given by A=( 6 11 2 4) then the determinant of A2015-6A2014 is ​

Answer 1

answer= (-11)2^2015

Step-by-step explanation:

A= [6 11 2 4]

A= 24-22=2

here are certain properites of use of determinants that will be used in further calculation:-

i) det(AB)=det(A)×det(B)

ii) so...

det (A^2015- 6A^2014)

= det (A^2014(A-6I))

=det A^2014 det ( A-6I)

= (det A)^2014 det ([0 11 2 -2])

=2^2014(-22)

=2^2014(-22)2^2015 (-11)

hope this help you(＾▽＾)