Mathematics

Mathematics

Problem

Let P=[a234b678c]P = \begin{bmatrix} a & 2 & 3 \\ 4 & b & 6 \\ 7 & 8 & c \end{bmatrix}. If P+PT=[1061061414101420]P + P^{T} = \begin{bmatrix} 10 & 6 & 10 \\ 6 & 14 & 14 \\ 10 & 14 & 20 \end{bmatrix}, determine (a, b, c)(a,\,b,\,c). a) (10,14,20)(10,14,20) b) (10,7,5)(10,7,5) c) (5,7,10)(5,7,10) d) (5,7,20)(5,7,20)

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