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Consider 01 0 A 1 20 4 (a) Find a basis for Row A and Nul A and hence find the dimension of each. (b) Is (-2,1,1) in Nul A? J

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Consi der the m atriz A=1120 1 1-1 4 Perform row operations B ㈠局 -01 1 0 1 11 4 B →厚+-ら The rank of the matrix is 2 and the n

-2 -1 Let v - (-2,-1,1,1 Now consi der -2 -1 Av 2 0 4 1 114 0-1+1+0 2-2+0+4 -2-1-1+4 That is, Av 0. Thus, the vector (-2,-1,1

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