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Verify the Rank-Nullity Theorem for the transformation

6.C] Verify the Rank-Nullity Theorem for the transformation $T: \mathbb{R}^3 \to \mathbb{R}^2$ defined by $T(x, y, z) = (y - x, y - z)$

Answer:

Verify the Rank-Nullity Theorem for the transformation <span class="wp-katex-eq" data-display="false"> T: \mathbb{R}^3 \to \mathbb{R}^2 </span> defined by <span class="wp-katex-eq" data-display="false">T(x, y, z) = (y - x, y - z)</span>

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