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  • 5 years ago

since v1 =(6,7,1) v2 = (2,0,3) and v3 = (4,6,1) form a basis in R3. do I find the coordinates of (6,2,6) relative to this basis by solving this system for a ,b,c: (6,2,6)= av1 + bv2 + cv3 and are a,b,c the coordiantes?

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  1. anonymous
    • 5 years ago
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    That looks right. You can rewrite the right hand side of the equation as a matrix times a vector (or maybe a vector times a matrix?) and then use the inverse matrix to solve.

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