Question: Given Under the transformation X = BY show that (5.6) becomes Y T (B T AB)Y = 27 If evaluate B T AB, and hence

Given

A = -2 show that 5-2 0 6 2 0 2 7 XTAX = 27 implies that X and X = X (5.6) 5x + 6x + 7x34xx + 4xx3 = 27

Under the transformation X = BY show that (5.6) becomes YT(BTAB)Y = 27 If

B = 2 2 -1] 2 -1 2 2 2 -1 Y and Y = y

evaluate BTAB, and hence show that

y+ 2y2 + 3y = 1

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