Aerospace Engineering > GATE 2015 > Linear Algebra
If all the eigenvalues of a matrix are real and equal, then
A
the matrix is diagonalizable
B
its eigenvectors are not necessarily linearly independent
C
its eigenvectors are linearly independent
D
its determinant is necessarily zero

Correct : b

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Related Topics

eigenvalues real equal matrix properties eigenvectors linearly independent diagonalizable matrix Aerospace Engineering GATE 2015 GATE AE 2015 Q53 linear algebra eigenvalues matrix theory

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