AI Tutor
Back to Basis

Exercise 4

Avg difficulty 3.0

Represent the vector with respect to each of the two bases.

v⃗=(3−1)B1=⟨(1−1),(11)⟩,  B2=⟨(12),(13)⟩\vec{v}=\begin{pmatrix}3\\ -1\end{pmatrix}\quad B_{1}=\langle\begin{pmatrix}1\\ -1\end{pmatrix},\begin{pmatrix}1\\ 1\end{pmatrix}\rangle,\;B_{2}=\langle\begin{pmatrix}1\\ 2\end{pmatrix},\begin{pmatrix}1\\ 3\end{pmatrix}\rangle

Hefferon, Linear Algebra, Vector Spaces, Basis, Exercise 4

AI Tutor

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