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Engineering Maths · Q162

Linear Algebra

Engineering and GATE · Engineering Maths · question 162

Q162

Which one of the following statements is NOT true for a square matrix A?

A.
If A is upper triangular, the eigen values of A are the diagonal elements of it
B.
If A is real symmetric, the eigen values of A are always real and positive
Answer
C.
If A is real, the eigen values of A and AT are always the same
D.
If all the principal minors of A are positive, all the eigen values of A are also positive

Answer: Option B

Solution

Answer: Option B
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