1.4.45 Matrix Transformations

Condition: find the matrix of the linear operator \ (a \) in the canonical basis and in the basis \ (\ left \ {a_ {1}, a_ {2} \ right \} \) if \ (a_ {i} = b_ {i}, (i = 1.2) \), where \ (where \ ( a_ {1} = \ left (\ begin {array} {l} 1 \\ 4 \ end {array} \ right), a_ {2} = \ left (\ beigin {arry} {c} -2 \\ 1 \ end {Array} \ Right) \), \ (b_ {1} = \ left (\ begin {array} {l} 1 \\ 1 \ End {Array} \ Right), b_ {2} = \ left (\ begin {array} {l} -1 \\ -2 \ end {array} \ right) \).