題組內容

4. Let \( u{1} = [1\quad 1\quad 0]^{T} \), \( u{2} = [1\quad 2\quad 0]^{T} \), \( u{3} = [1\quad 2\quad 1]^{T} \), \( v{1} = [1\quad 1\quad 1]^{T} \), \( v{2} = [2\quad 3\quad 2]^{T} \), and \( v{3} = [1\quad 5\quad 4]^{T} \).


(a) \( (7\%) \) Find the transition matrix from \( \{\mathbf{v}1,\mathbf{v}2,\mathbf{v}3\} \) to \( \{\mathbf{u}1,\mathbf{u}2,\mathbf{u}3\} \).