Quick review
basis transforamtion
Linear Transformation
Transition matrix
\[
B'[I]^{B'}_{B} = B
\]
\(
B \text{ is transition to } B'
\)
\([I]^{B'}_{B}\) is a transition matrix.
Quick review Coordinate Vector && Transition Matrix
Something Unsorted
Coordinate Matrix
\[
w=B[w]_{B}
\]
\(
w=
\begin{bmatrix}
4 \\
7
\end{bmatrix}
\)
\(
B=
\begin{bmatrix}
2 & 3 \\
5 & 7
\end{bmatrix}
\)
\(
[w]_{B}=
\begin{bmatrix}
-7 \\
6
\end{bmatrix}
\)
Standard matrix
Coordinate Vector
Matrix representation of T
Standard Matrix
Formula Change
Combination of linear transformation
Inverse function