0
No. Say your matrix is called A, then a number e is an eigenvalue of A exactly when A-eI is singular, where I is the identity matrix of the same dimensions as A. A-eI is singular exactly when (A-eI)T is singular, but (A-eI)T=AT-(eI)T =AT-eI. Therefore we can conclude that e is an eigenvalue of A exactly when it is an eigenvalue of AT.
Still curious? Ask our experts.
Chat with our AI personalities
Rene
Ezra
SteveAdd your answer:
Earn +20 pts
What is the determinant of a 2x3 matrix?
The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.
Solution to linear algebra problem?
It may or may not exist. If the matrix of coefficients is singular then there is no solution.
What is the answers to The adjacency matrix of a node graph is given below. How many direct connection paths exist in the graph that is represented by this matrix PQRS P1010 Q0101 R1100 S0001?
no, the correct matrix to use is PQRS P1010 Q0101 R1100 S0010
How many different skin colors exist?
There are virtually an infinite amount of different skin colours that exist since the possibilities of shades are infinite.
How many copies of the bible have been printed?
As so many different language translations exist, and as, within those languages, so many different versions exist, and as, within those versions, so many printings exist.... this number is unknown and unknowable.
