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True or False If A is the matrix of a projection onto a line L in...

True or False

If A is the matrix of a projection onto a line L in R 2 and the vector x in R 2 is not the zero vector, then the vector x − Ax is perpendicular to the vector x.

If vectors u, v, x and y are vectors in R 7 such that u = 2v + 0x − 3y, then a basis for span(u, v, x, y) is {u, v, y}.

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