Loser66
  • Loser66
Let V be the real vector space of all real 2 x 3 matrices. W be the real vector space of all real 4 x1 column vectors . If T is a linear transformation from V ONTO W. What is the dimension of the subspace \(\{v\in V: T(v) =0\}\) ? A)2 B) 3 C)4) D)5 E)6 Please, help
Mathematics
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chestercat
  • chestercat
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Loser66
  • Loser66
@ganeshie8
Loser66
  • Loser66
What I don't understand is if v in V, then v is a 2 x 3 matrix Hence, no matter what dimension of T is, the image of v can't be 4x1 one. I meant, let \[v=\left[\begin{matrix}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\end{matrix}\right]\]
Loser66
  • Loser66
If T is 4x2 matrix, then T(v) is 4x3 one. How can I get T(v) in W?

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Loser66
  • Loser66
thanks

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