Chapter 6.5, Problem 5TFR

To determine

To find:

Whether the statement “Two different linear transformations $T_1:V_1\to W_1$ and $T_2:V_2\to W_2$ (with bases, $B_1$, $C_1$, $B_2$, $C_2$ for $V_1$, $W_1$, $V_2$, $W_2$, respectively) can have the same matrix representations: ${\left[T\right]}_{B_1}^{C_1}={\left[T\right]}_{B_2}^{C_2}$” is true or false.