- #1
KristenSmith
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Homework Statement
Show that if A is an n x n matrix whose kth row is the same as the kth row of In, then 1 is an eigenvalue of A.
Homework Statement
Show that if A is an n x n matrix whose kth row is the same as the kth row of In, then 1 is an eigenvalue of A.
Homework Equations
None that I know of.
The Attempt at a Solution
I tried creating an arbitrary matrix A and set it up to to find the det(A-λI) but that got me no where.
It is easy to find a specific vector x with Atx = 1x. That shows that x is an eigenvector of At with eigenvalue 1 => At has 1 as eigenvalue => A has 1 as eigenvalue.I'm still not understanding what to do with that...