Determine the range of the linear transformation $\displaystyle T:V_4 \to V_3$ defined by $\displaystyle T(x_1,x_2,x_3,x_4)=(x_1-x_4,\,x_2+x_3,\,x_3-x_4)$. Also find the Rank of $\displaystyle T$.

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- Dec 7th 2009, 06:53 AMkjchauhanrange of L.T.
*Determine the range of the linear transformation $\displaystyle T:V_4 \to V_3$ defined by $\displaystyle T(x_1,x_2,x_3,x_4)=(x_1-x_4,\,x_2+x_3,\,x_3-x_4)$. Also find the Rank of $\displaystyle T$.*

Pl help to solve this..

Thanks in advance..