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Q#1 GATE CH 2021 NAT +1 mark -0 marks

𝑨, 𝑩, 𝑪 and 𝑫 are vectors of length 4

𝑨 =        [𝑎1        𝑎2        𝑎3        𝑎4]

𝑩 =        [𝑏1        𝑏2        𝑏3        𝑏4]

𝑪 =        [𝑐1        𝑐2        𝑐3        𝑐4]

𝑫 =        [𝑑1        𝑑2        𝑑3        𝑑4]

It is known that 𝑩 is not a scalar multiple of 𝑨. Also, 𝑪 is linearly independent of 𝑨 and 𝑩. Further, 𝑫 = 3 𝑨 + 2 𝑩 + 𝑪.

 

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