TRUE OR FALSE?
There is a transition matrix A such that fails to exist.
The given statement is true.
Consider the matrix.
The matrices are,
The series keeps on going.
But, does not exist.
Hence, the statement is true.
Let in all parts of this problem.
(a) Find the scalar such that the matrix fails to be invertible. There are two solutions; choose one and use it in parts (b) and (c).
(b) For the you choose in part (a), find a non-zero vector such that
(c) Note that the equation can be written as.
Check that the equation holds for your from part (a) and your from part (b).
94% of StudySmarter users get better grades.Sign up for free