SOLUTION: if A= ( matrix( 3, 3, 0, 1, 0, 0, 0, 1, 5, 0, 0 ) ) then A^3= 5I and A is non-singular, IS This true or false with explanation plz

Algebra ->  College  -> Linear Algebra -> SOLUTION: if A= ( matrix( 3, 3, 0, 1, 0, 0, 0, 1, 5, 0, 0 ) ) then A^3= 5I and A is non-singular, IS This true or false with explanation plz       Log On


   



Question 1027748: if A=
(
matrix( 3, 3,
0, 1, 0,
0, 0, 1,
5, 0, 0
)
)
then A^3= 5I and A is non-singular, IS This true or false with explanation plz

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A non-zero multiple of the identity matrix is always non-singular, so the statement is true.