In each case, find a symmetric matrix A such that q = XTBX takes the form q

Question:

In each case, find a symmetric matrix A such that q = XTBX takes the form q = XTAX.
(a)
In each case, find a symmetric matrix A such that

(b)

In each case, find a symmetric matrix A such that

(c)

In each case, find a symmetric matrix A such that

(d)

In each case, find a symmetric matrix A such that
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