The vectors (1,2,3,4),(0,1,2,3),(0,0,1,2),(0,0,0,1) creates a basis in R^4. Decide the coordinates for the vector (1,1,1,1) in the given basis.

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The answer is (1,-1,0,0) however I don't know how to get there.

i hope that helps, all u need is a vectors that u can multiply the basis with to get [1 1 1 1]

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