assignment5
wubujiao
October 29, 2015
1.A(x, y, z) = (x + 2y z, y, x + 7z) is a linear operator on <3 .
(a) Determine [A]S , where S is the standard basis.
A(e1 ) = A(1, 0, 0) = (1, 0, 1)
A(e2 ) = A(0, 1, 0) = (2, 1, 0)
A(e3 ) = A(0, 0, 1) = (1, 0, 7)
So
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1-1.3. By solving a 3 3 system by Gaussian elimination, find the coefficients
in the equation of the parabola y = + x + x2 that passes through the points
(1, 1), (2, 2),