Write the following positive definite quadratic forms as a sum of pure squares, as in (3.71): (a)
Question:
(a) 16x21 + 25x22
(b) 5x21 - 2x1x2 + 4x22
(c) 5x21 + 4x1x2 + 3x22
(d) 3x21 -2x1x2 - 2x1x3 + 2x22 + 6x23
(e) x21 + x1x2 + x2 x3 + x23
(0) 4x21 - 2x1x2 - 4x1x3 + 1/2 x22 - x2x3 + 6x23
(g) 3x21 + 2x1x2 + 3x22 + 2x2x3 + 3x23 + 2x3x4 + 3x24
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