Let e Subscript $1$equalsleft bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column $12$nd Row $1$st Column $0$ EndMatrix right bracket

and e Subscript $2$equalsleft bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column $02$nd Row $1$st Column $1$ EndMatrix right bracket

$,$ y Subscript $1$equalsleft bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column $22$nd Row $1$st Column $5$ EndMatrix right bracket

$,$ and y Subscript $2$equalsleft bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column negative $22$nd Row $1$st Column $6$ EndMatrix right bracket

$,$ and let$$ T: set of real numbers R squaredright arrowset of real numbers R squared be a linear transformation that maps e Subscript $1$ into y Subscript $1$ and maps e Subscript $2$ into y Subscript $2.$ Find the images of left bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column $42$nd Row $1$st Column negative $4$ EndMatrix right bracket

and left bracket Start $2$ By $1$ Matrix $1$st Row $1$st Column x $12$nd Row $1$st Column x $2$ EndMatrix right bracket $.$