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?

We have a set of 3 linear equations in 3 unknowns. ‘X ≡ Y’ means

1.	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 ≡ R ≡ Q ≡ S
B.	P ≡ R ≢ Q ≡ S
C.	P ≡ Q ≢ R ≡ S
D.	P ≢ Q ≢ R ≢ S
Answer» B. P ≡ R ≢ Q ≡ S