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Engineering Maths · Q4

Linear Algebra

Engineering and GATE · Engineering Maths · question 4

Q4

How many of the following matrices have an eigen value 1? \[ [ array*20c 1&0 \\ 0&0 array ], [ array*20c 0&1 \\ 0&0 array ], [ array*20c 1& - 1 \\ 1&1 array ] and [ array*20c - 1&0 \\ 1& - 1 array ]\]

How many of the following matrices have an eigen value 1?
\left[ {\begin{array}{*{20}{c}} 1&0 \\ 0&0 \end{array}} \right],\left[ {\begin{array}{*{20}{c}} 0&1 \\ 0&0 \end{array}} \right],\left[ {\begin{array}{*{20}{c}} 1&{ - 1} \\ 1&1 \end{array}} \right]{\text{ and }}\left[ {\begin{array}{*{20}{c}} { - 1}&0 \\ 1&{ - 1} \end{array}} \right]
A.
one
Answer
B.
two
C.
three
D.
four

Answer: Option A

Solution

Answer: Option A
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