write $x(a_1,a_2,a_3)+y(b_1,b_2,b_3)+z(c_1,c_2,c_3)$ as


$b_1,b_2,b_3, $


^as a 3x3 matrix

for a suitable Y?


Combining those three vectors gives $$(xa_1+yb_1+zc_1, xa_2+yb_2+zc_2, xa_3+yb_3+zc_3)$$

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