MA 35100 Lecture Notes - Lecture 16: Mexican Peso, Crows, Row And Column Spaces
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Show that these vectors do not span #4. R2 rz - zr , set ! " row space : a is an mxn matrix . Azn z am , amz - i - amn h. Row space (a) = the linear span { , Show that v = [ 1 , 2 , In general , solve a linear system . , 5 ] e row space (a) . 1 , i } + { 0 , , i , l) + b ( o. 1 , 2,4 ) + c ( i , 3 , i , 7) 5 = at 4 b + 7c a = i. " recall : if a and b are row equivalent , if b is obtained from a by a sequence of row operations . Drop : if a and b are row equivalent , then rows pace (a) = row space (b) .