The standard method of T(u1) = a11.u1 + a12.u2 +...+ a1n.un is proving to be too tedious. Is there any other way to solve this?
Anything on the lines of change of basis matrix?
2026-03-28 01:13:42.1774660422
Find matrix of a linear transformation.
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Sure. Let $A$ be the matrix of $T$ with respect to the standard basis andlet$$M=\begin{pmatrix}1&-1&3\\0&2&-1\\1&1&1\end{pmatrix}$$(the columns of $M$ are the entries of the $V_i$'s). Then the matrix that you are looking for is $M.A.M^{-1}$.