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Engineering Maths · Q117

Linear Algebra

Engineering and GATE · Engineering Maths · question 117

Q117

In the given matrix \[ [ array*20c 1& - 1&2 \\ 0&1&0 \\ 1&2&1 array ],\] one of the eigen values is 1. The eigen vectors corresponding to the eigen value 1 are

In the given matrix \left[ {\begin{array}{*{20}{c}} 1&{ - 1}&2 \\ 0&1&0 \\ 1&2&1 \end{array}} \right],   one of the eigen values is 1. The eigen vectors corresponding to the eigen value 1 are
A.
{α(4, 2, 1) |α ≠ 0, α R}
B.
{α(-4, 2, 1) |α ≠ 0, α R}
Answer
C.
{α(√2, 0, 1) |α ≠ 0, α R}
D.
{α(-√2, 0, 1) |α ≠ 0, α R}

Answer: Option B

Solution

Answer: Option B
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