題組內容
5. Give the matrix B = $$\begin{bmatrix} 1 & 0 \\ 0 & 2 \\ 0 & 0 \end{bmatrix}$$.
(a) \( (10\%) \) Find the eigenvalues and the eigenvectors of \( \mathbf{B}^{\mathrm{T}}\mathbf{B} \)
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5. Give the matrix B = $$\begin{bmatrix} 1 & 0 \\ 0 & 2 \\ 0 & 0 \end{bmatrix}$$.
(a) \( (10\%) \) Find the eigenvalues and the eigenvectors of \( \mathbf{B}^{\mathrm{T}}\mathbf{B} \)