9. Determine if the following subsets of R² are subspaces of R²: (a) S = {(x,y)| ry >0} (b) E = {(x,y)| 2x + 5y =6} (c) T = {(r,y)| 2x + 5y=0} (d) I = {(x,y)| z=0}

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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9. Determine if the following subsets of R² are subspaces of R²:
(a) S = {(x,y)| ay ≥ 0}
(b) E= {(x,y)| 2x + 5y =6}
(c) T = {(r,y)| 2x + 5y=0}
(d) I = {(x,y)| z=0}
Transcribed Image Text:9. Determine if the following subsets of R² are subspaces of R²: (a) S = {(x,y)| ay ≥ 0} (b) E= {(x,y)| 2x + 5y =6} (c) T = {(r,y)| 2x + 5y=0} (d) I = {(x,y)| z=0}
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