Find a transition matrix

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Suppose we have two bases in R3\mathbb{R}^3: e1=(1,−1,1)e_1 = (1, -1, 1), e2=(−1,−1,1)e_2 = (-1, -1, 1), e3=(−1,0,2)e_3 =( -1, 0, 2) and e1′=(−2,−1,−1)e'_1 = (-2, -1, -1), e2′=(1,0,2)e'_2 = (1, 0, 2), e3′=(1,−3,3)e'_3 =( 1, -3, 3). Which of the following matrixes is a transition matrix from e\mathbf{e} to e′\mathbf{e'}?

1) (1−1−1−1−10112);\begin{pmatrix} 1 & -1 & -1 \\ -1 & -1 & 0 \\ 1 & 1 & 2 \end{pmatrix};

2) (−211−10−3−123);\begin{pmatrix} -2 & 1 & 1 \\ -1 & 0& -3 \\ -1 & 2 & 3 \end{pmatrix};

3) (−1122−11−110);\begin{pmatrix} -1 & 1 & 2 \\ 2 & -1 & 1 \\ -1 & 1 & 0 \end{pmatrix};

4) These are not bases.

Select one option from the list

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