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Let S={(0,1),(1,1),(3,-2)} ⊂ R², where R² is a real vector space with the usual vector addition...

Let S={(0,1),(1,1),(3,-2)} ⊂ R², where R² is a real vector space with the usual vector addition and scalar multiplication.

(i) Show that S is a spanning set for R²​​​​​​​

(ii)Determine whether or not S is a linearly independent set

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