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<prosody rate="slow">Capital M sub, capital X sub one, capital Y, <break time="250ms"/> equals <break time="250ms"/> capital M sub, capital X sub one, capital X sub two, <emphasis>beta sub two</emphasis>, <break time="250ms"/> plus <break time="250ms"/> capital M sub, capital X sub one, <emphasis>u</emphasis>,</prosody> <break time="350ms"/> <prosody rate="medium">where <emphasis>capital M sub, capital X sub one</emphasis>, is the annihilator matrix that projects onto the orthogonal complement of the column space of capital X sub one.</prosody>