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

Faraona asked Jan 21, 2022

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Faraona asked Jan 21, 2022

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22 votes

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)

Tknickman answered Jan 28, 2022

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