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Question: let t r3 to r2 be a linear transformation operator...

Question details

Let T: R3 to R2 be a linear transformation (operator) with eigenvalues \lambda _{_{1}}=1, \lambda _{_{2}}=1, \lambda _{_{3}}=2 corresponding to the following eigenvectors:

\overrightarrow{v_{1}}=[1,1,0]^{T}, \overrightarrow{v_{2}}=[0,1,1]^{T}, \overrightarrow{v_{3}}=[0,0,1]^{T}

Please clearly describe the following:

>Compute the matrix A that represents T with respect to the canonical basis.

>Is T invertible?

>Is T an asymmetric operator?

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