Chemical Engineering > GATE 2013 > Linear Algebra
Which of the following statements are TRUE?
P. The eigenvalues of a symmetric matrix are real
Q. The value of the determinant of an orthogonal matrix can only be +1
R. The transpose of a square matrix A has the same eigenvalues as those of A
S. The inverse of an 'n×n' matrix exists if and only if the rank is less than 'n'
P. The eigenvalues of a symmetric matrix are real
Q. The value of the determinant of an orthogonal matrix can only be +1
R. The transpose of a square matrix A has the same eigenvalues as those of A
S. The inverse of an 'n×n' matrix exists if and only if the rank is less than 'n'
Correct : b
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