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Consider the following. \[ A=\left[\begin{array}{ll} 3 & 7 \\ 7 & 3 \end{array}\right] \] List the eigenvalues of \( A \) and bases of the correspendiny eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) smaller elgerivalue larger eigenvaluo \( \lambda_{2}= \) has eigenspace \( \operatorname{span}\left(\right. \) bl \( ^{2} \) Determine whether \( A \) is diagonalizable. Yes No Find an invertible matrix \( P \) and a diagonal matrix \( D \) such that \( P^{-1} A P=D \). [Enter each matrix in the form [[row 1], [row 2], w. ]. where each row is a comma-separated fist. If \( A \) is not diagonalizable, enter NO SOUUTION.) \[ (D, P)=() \] \( -72 \) Points] POOLELINALG4 4.4.009. Determine whether \( A \) is diagonalizable. \[ A=\left[\begin{array}{ll} -5 & 9 \\ -1 & 1 \end{array}\right] \] Yes No Find an invertible matrix \( P \) and a diagonal matrix \( D \) such that \( P^{-1} A P=D \). [Enter each matrix in the form [[row 1 ] . [row 2], ..' 2 . where each row is a comma-separated list. If \( A \) is not diagonalizable, enter NO SOLUTION.)

A=[3773] We shall find the eigenvalues now: det(A??I)=0 ?det([3??773??])=0 ?(3??)2?72=0 ?3??=±7 ??=?4,10

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