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

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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)   (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.
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