Consider the vector space R. (a) (b) (c) (d) Is the vector (2, 1) a lintar...

  

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Consider the vector space R². (a) (b) (c) (d) Is the vector (2, 1) a lintar combination of the vectors (1, 1) and (1,2)? How about about the vector (0, 1)? Which vectors in R² are linear combinations of (1,1) and (1, 2)? Let v = (v₁,v₂) E R² and w= (u₁, w₂) E R². Under which conditions, on V1, V2, W1, W2, can any vector in R2 be represented as a linear combination of u and w? Consider the vector space R². (a) (b) (c) (d) Is the vector (2, 1) a lintar combination of the vectors (1, 1) and (1,2)? How about about the vector (0, 1)? Which vectors in R² are linear combinations of (1,1) and (1, 2)? Let v = (v₁,v₂) E R² and w= (u₁, w₂) E R². Under which conditions, on V1, V2, W1, W2, can any vector in R2 be represented as a linear combination of u and w?