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Engineering Maths · Q25

Linear Algebra

Engineering and GATE · Engineering Maths · question 25

Q25

The equation \[ [ array*20c 2& - 2 \\ 1& - 1 array ] [ array*20c x_1 \\ x_2 array ] = [ array*20c 0 \\ 0 array ]\] has

The equation \left[ {\begin{array}{*{20}{c}} 2&{ - 2} \\ 1&{ - 1} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{{\text{x}}_1}} \\ {{{\text{x}}_2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 0 \\ 0 \end{array}} \right]    has
A.
no solution
B.
only one solution \left[ {\begin{array}{*{20}{c}} {{{\text{x}}_1}} \\ {{{\text{x}}_2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 0 \\ 0 \end{array}} \right]
C.
non-zero unique solution
D.
multiple solutions
Answer

Answer: Option D

Solution

Answer: Option D
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