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b) Express ⃗=(-2,16,2) as the linear combination of ⃗= (0, 3, 4 ) and ⃗⃗= (0, 0, -2) and ⃗= (1, -5, 0)​
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b) Express ⃗=(-2,16,2) as the linear combination of ⃗= (0, 3, 4 ) and ⃗⃗= (0, 0, -2) and ⃗= (1, -5, 0)​

User Willi Mentzel
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1 Answer

1 vote

Answer:


(-2,16,2)=2(0,3,4)+3(0,0,-2)-2(1,-5,0)

Explanation:

We verify this linear combination indeed gives
(-2,16,2).


2(0,3,4)+3(0,0,-2)-2(1,-5,0)=(0,6,8)+(0,0,-6)+(-2,10,0)=(-2,16,2)

User Federico Jousset
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