Show that the transformation

6.B] Show that the transformation T: P_2 \to P_1 defined by T(ax^2 + bx + c) = (a + b)x + c is linear.

Answer:

Show that the transformation <span class="wp-katex-eq" data-display="false"> T: P_2 \to P_1 </span> defined by <span class="wp-katex-eq" data-display="false"> T(ax^2 + bx + c) = (a + b)x + c </span> is linear.

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