題組內容

5. Give the matrix B = $$\begin{bmatrix} 1 & 0 \\ 0 & 2 \\ 0 & 0 \end{bmatrix}$$.

6. (10%) Assume that both C and D are n×n matrices. Determine whether L(D) = CD³ is a linear operator from Rⁿⁿ to Rⁿⁿ.