In each of the following, find the 4 4 matrix A = [ aij] that satisfies

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In each of the following, find the 4 × 4 matrix A = [ aij] that satisfies the given condition:
(a) aij = ( - l)i+j
(b) aij = j - i
(c) aij = (i - l)j
(d) sin ((i + j - 1 )π) / 4)
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