1.Let AAA be a 3×33 \times 33×3 real matrix such that A2=2AA^2 = 2AA2=2A and A(121)=(000)A \begin{pmatrix} 1 \\ 2 \\ 1 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix}A121=000. Then the system (A−3I) y=(231)(A - 3I)\,y = \begin{pmatrix} 2 \\ 3 \\ 1 \end{pmatrix}(A−3I)y=231 hasa.unique solutionb.exactly two solutionsc.no solutiond.infinitely many solutionsLogin to continueOnly logged in users canattempt or see the solution.
