Book Maths Puzzle Algebra

in h={[[x][y][z][w]]} element of R4 where x=y and w=3y} and v=[[-1][2][3][1]]
How many basis vectors ar needed to span the space H?
how do you find the projection of v onto H?
h

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Book Other Question

What is the equation of the parabola through the points (0,16) (1,1) and (2,-4)? If you factor 5x^2-40x+75 which would be the correct answer?
A)5x^2-40x+75
B)(x-3)(5x-25)
C)5(x-15)(x+1)
D)5(x-3)(x-5)

Factor 2x^7+26x^6+84x^5

Solve the quadratic equatio