Transcription of 3Elementary row operations and their …
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3Elementary row operations and their …
3 Elementary row operations and their correspondingmatricesAs we ll see, any elementary row operation can be performed by multiplying the augmentedmatrix (A|y) on theleftby what we ll call anelementary matrix. Just so this doesn tcome as a total shock, let s look at some simple matrix operations : SupposeEAis defined, and suppose the first row ofEis (1,0,0, .. ,0). Then the firstrow ofEAisidenticalto the first row ofA. Similarly, if theithrow ofEis all zeros except for a 1 in theithslot, then theithrowof the productEAis identical to theithrow ofA.
3Elementary row operations and their corresponding matrices As we’ll see, any elementary row operation can be performed by multiplying the augmented
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