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Vectors & Spaceshard
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Let WWW be the subspace of R4\mathbb{R}^4R4 defined by the system of equations: x1+x2+x3+x4=0x_1 + x_2 + x_3 + x_4 = 0x1​+x2​+x3​+x4​=0 and x1−x2+x3−x4=0x_1 - x_2 + x_3 - x_4 = 0x1​−x2​+x3​−x4​=0. What is dim⁡(W)\dim(W)dim(W)?