Question: please help me with this (1) Suppose A is a 3 x 3 matrix with the following properties: 1 0 0 o 1 , 1

please help me with this

please help me with this (1) Suppose A is a 3 x 3
(1) Suppose A is a 3 x 3 matrix with the following properties: 1 0 0 o 1 , 1 , and 0 are eigenvectors of A 0 1 1 o 1 and 4 are the only eigenvalues of A2. Find one possible matrix A satisfying these properties, writing your answer as a single matrix. Show all your work

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