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Question Number 54962 by gunawan last updated on 15/Feb/19
$$\mathrm{Let}\:{X}=\left\{\left(−\mathrm{1},\:\mathrm{0},\:\mathrm{0}\right),\:\left(\mathrm{1},\:\mathrm{1},\:\mathrm{0}\right),\:\left(\mathrm{0},\:\mathrm{1},\:\mathrm{1}\right)\right. \\ $$$$\mathrm{and}\:\mathrm{ortogonal}\:\mathrm{projection}\:\mathrm{at}\:{X}. \\ $$$$\mathrm{Matrices}\:\mathrm{representation}\:\mathrm{P}\:\mathrm{to} \\ $$$$\mathrm{basic}\:\mathrm{basis}\:\mathrm{in}\:\mathrm{space}\:\mathrm{Euclid}\:\mathrm{R}^{\mathrm{3}} \:\mathrm{is}.. \\ $$