- #1
JamesGoh
- 143
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For some of my homework exercises, the lecturer has specified the values for a kernel of a square matrix minus the scalar product of the eigenvector and the identity matrix.
Mathematically, I am given
kernel(A - λI) = some integer value where A is a nxn square matrix
lambda is the eigenvalue obtained from the characteristic polynomial
I is the identity matrix
My question is, what is the logical and mathematical connection between kernel(A - λI) and finding the equivalent jordan block ?
Mathematically, I am given
kernel(A - λI) = some integer value where A is a nxn square matrix
lambda is the eigenvalue obtained from the characteristic polynomial
I is the identity matrix
My question is, what is the logical and mathematical connection between kernel(A - λI) and finding the equivalent jordan block ?