AI Tutor
Back to Any Matrix Represents a Linear Map

Exercise 7

Avg difficulty 3.0

What transformation of F={acos⁡θ+bsin⁡θ∣a,b∈R}F=\text{$\{\hskip 1.00006pta\cos\theta+b\sin\theta\mid a,b\in\mathbb{R}\hskip 1.00006pt\}$} is represented with respect to B=⟨cos⁡θ−sin⁡θ,sin⁡θ⟩B=\langle\cos\theta-\sin\theta,\sin\theta\rangle and D=⟨cos⁡θ+sin⁡θ,cos⁡θ⟩D=\langle\cos\theta+\sin\theta,\cos\theta\rangle by this matrix?

(0010)\begin{pmatrix}0&0\\ 1&0\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Any Matrix Represents a Linear Map, Exercise 7

AI Tutor

Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.