Q33
Consider the system of equations A(n × n) X(n × 1) = λ(n × 1) where, λ is a scalar. Let (λi, xi) be an eigen-pair of an eigen value and its corresponding eigen vector for real matrix A. Let I be a (n × n) unit matrix. Which one of the following statement is NOT correct?
Consider the system of equations A(n × n) X(n × 1) = λ(n × 1) where, λ is a scalar. Let (λi, xi) be an eigen-pair of an eigen value and its corresponding eigen vector for real matrix A. Let be a
(n × n) unit matrix. Which one of the following statement is NOT correct?
A.
For a homogeneous n × n system of linear equations, (A - λ)x = 0 having a nontrivial solution, the rank of (A - λ) is less than n
B.
For matrix Am, m being a positive integer, (λim, xim) will be the eigen-pair for all i
AnswerC.
If AT = A-1, then |λi| = 1 for all i
D.
If AT = A, then λi is real for all i
Answer: Option B
Solution
Answer: Option B
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