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What is the matrix transformation which takes the independent vectors $\begin{pmatrix}
1& \\
2& 
\end{pmatrix}$ and $\begin{pmatrix}
2& \\
5& 
\end{pmatrix}$ and transforms them to $\begin{pmatrix}
1& \\
1& 
\end{pmatrix}$ and $\begin{pmatrix}
3& \\
2& 
\end{pmatrix}$ respectively?

  1. $\begin{pmatrix}
    1&-1 \\
    1& 0
    \end{pmatrix}$
  2. $\begin{pmatrix}
    0&0 \\
    0.5& 0.5
    \end{pmatrix}$
  3. $\begin{pmatrix}
    -1&0 \\
    1& 1
    \end{pmatrix}$
  4. $\begin{pmatrix}
    -1&1 \\
    1& 0
    \end{pmatrix}$
asked in Linear Algebra by Veteran (32.9k points)   | 1.1k views

1 Answer

+2 votes
option D
answered by (91 points)  
Wow! Wat a nice explanation

please correct if any mistake

please correct if any mistakes

 

Now it is nice one.
Answer:

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