- #1
Victor Feitosa
- 15
- 0
Homework Statement
Being T: ℝ2 → ℝ2 the linear operator which matrix in relation to basis B = {(-1, 1), (0, 1)} IS:
[T]b =
\begin{bmatrix}
1 & 0\\
-3 & 1
\end{bmatrix}
True or False: T(x,y) = (x, 3x+y) for all x,y∈ℝ?
Homework Equations
The Attempt at a Solution
3[/B]
So first I convert (x,y) from canonical to basis B and found (-1, 2).
Next, I calculate [T]b. (-1,2). Found that the result is (-x, 3x +2y).
Now, from my perspective i have to convert it to canonical basis again.
But how am I suposed to do it?
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