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Q#1
Linear Algebra
GATE EC 2023
MCQ
+1 mark
-0.33 marks
Let the sets of eigenvalues and eigenvectors of a matrix
be
and
, respectively. For any invertible matrix
, the sets of eigenvalues and eigenvectors of the matrix
, where
, respectively, are
and 
and 
and 
and 
Explanation:
Given input is 
are called matrices similar.
Both
have same set 7 eigen values
Matrix A & B has different eigen vector.
Let 


Eigen vectors of
are
.
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