Electrical Engineering > GATE 2015 SET-2 > Linear Algebra
We have a set of 3 linear equations in 3 unknowns. 'X ≡ Y' means X and Y are equivalent statements and 'X ≢ Y' means X and Y are not equivalent statements.
P: There is a unique solution.
Q: The equations are linearly independent.
R: All eigenvalues of the coefficient matrix are nonzero.
S: The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?
A
P ≡ Q ≡ R ≡ S
B
P ≡ R ≢ Q ≡ S
C
P ≡ Q ≢ R ≡ S
D
P ≢ Q ≢ R ≢ S

Correct : a

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