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Linear transformation and matrix
A matrix represents a linear transformation of vectors. Is the reverse true? Namely, can any linear transformation (of a finite dimensional vectors) be represented by a matrix?
- Yes B. No
Matrix and linear transformation
Suppose that a linear transformation of a 2D vector space maps $\bigl(\begin{smallmatrix} 1 \\ 0 \end{smallmatrix} \bigr)$ to $\vec{a}$, and $\bigl(\begin{smallmatrix} 0 \\ 1 \end{smallmatrix} \bigr)$ to $\vec{b}$. The matrix that represents this linear transformation is
- Yes B. N