Aerospace Engineering > GATE 2014 > Linear Algebra
For a real symmetric matrix [A], which of the following statements is true:
A
The matrix is always diagonalizable and invertible.
B
The matrix is always invertible but not necessarily diagonalizable.
C
The matrix is always diagonalizable but not necessarily invertible.
D
The matrix is always neither diagonalizable nor invertible.

Correct : c

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Related Topics

real symmetric matrix matrix diagonalization matrix invertibility properties of symmetric matrix Aerospace Engineering GATE 2014 GATE AE 2014 Q11 linear algebra symmetric matrix properties

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