The finished solution. Reshebnik Arutyunov. Task №2.

1-10. Are vectors a (a1; a2; a3), b (b1; b2; b3), c (c1; c2; c3) and d (d1; d2; d3) in some basis. Show that the vectors a, b, c form a basis, and to find the coordinates of the vector d in this basis.

2. and (4; 7; 8), b (9; 1; 3), c (2, -4, 1), d (1, -13, -13)

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)