Q26.Which of the following subsets are not vector subspaces of R3 with respect to usual addition and scalar multiplication? 1) W={(x,y,z):x,y,z∈R,x2=z2} 2) W={(x,y,z):x,y,z∈R,x=z} 3) W={(x,y,z):x,y,z∈R,x=y+z} 4) W={(x,y,z):x,y,z∈R,(x+1)+(y−1)+z=0}. Enter the serial number of the subset which is not a vector subspace.
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Q26
5 Jun 2022
Q26.Which of the following subsets are not vector subspaces of R3 with respect to usual addition and scalar multiplication? 1) W={(x,y,z):x,y,z∈R,x2=z2} 2) W={(x,y,z):x,y,z∈R,x=z} 3) W={(x,y,z):x,y,z∈R,x=y+z} 4) W={(x,y,z):x,y,z∈R,(x+1)+(y−1)+z=0}. Enter the serial number of the subset which is not a vector subspace.
