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Engineering Physics · Q77

Mathematical Physics

Engineering and GATE · Engineering Physics · question 77

Q77

Given the four vectors \[u_1 = [ array*20c 1 \\ 2 \\ 3 array ],\,u_2 = [ array*20c 3 \\ - 5 \\ 1 array ],\,u_3 = [ array*20c 2 \\ 4 \\ - 8 array ].\,u_4 = [ array*20c 3 \\ 6 \\ - 12 array ]\] The linearly dependent pair is

Given the four vectors {u_1} = \left[ {\begin{array}{*{20}{c}} 1 \\ 2 \\ 3 \end{array}} \right],\,{u_2} = \left[ {\begin{array}{*{20}{c}} 3 \\ { - 5} \\ 1 \end{array}} \right],\,{u_3} = \left[ {\begin{array}{*{20}{c}} 2 \\ 4 \\ { - 8} \end{array}} \right].\,{u_4} = \left[ {\begin{array}{*{20}{c}} 3 \\ 6 \\ { - 12} \end{array}} \right]
The linearly dependent pair is
A.
u1, u2
B.
u1, u3
C.
u1, u4
D.
u3, u4
Answer

Answer: Option D

Solution

Answer: Option D
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