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Question

Let
A=⎡⎢⎣100210321⎤⎥⎦
If u1 and u2 are column matrices such that
Au1=⎡⎢⎣100⎤⎥⎦ and Au2=⎡⎢⎣010⎤⎥⎦, then u1+u2 is equal to

A

110

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B

111

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C

110

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D

111

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Solution

The correct option is D

111


Let u1=abc u2=def
Au1=a2a+b3a+2b+c=100
a=1,b=2,c=1
u1121
Au2=d2d+e3d+2e+f=010
u2=012
u1+u2=111

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