1 3 6. 3 Let vị U2 = 1 U3 = 1 and w = | 2 2 Is w in the subspace spanned by{v1, v2 , V3}? Why ? Yes, since w can't be written as a linear combination of the vectors v1, U2 and v3 . Yes since the equation X1U1 + ×2V2 + X3U3 = w has a solution No since the equation x1vị + ×2U2 + X3U3 = w has no solutions. No since w can be written as a linear combination of the vectors vị, U2 and v3 .

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