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Engineering Maths · Q8

Linear Algebra

Engineering and GATE · Engineering Maths · question 8

Q8

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 eigen values 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 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 eigen values of the coefficient matrix are nonzero.
S : The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?
A.
Answer
B.
C.
D.

Answer: Option A

Solution

Answer: Option A
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