Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, üz of the symmetric matrix 12 A = -9 -9 -12 The smaller eigenvalue A1 = has associated unit eigenvector ūi The larger eigenvalue A2 = has associated unit eigenvector ū2 Note: The eigenvectors above form an orthonormal eigenbasis for A.

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A: See the detailed solution below.

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix The…

A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

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A: λ is an eigen value of a matrix A if  detA-λI=0where I is identity matrix of order same as of A.

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A: solution of the given question is like this:

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Q: Find the eigenvalues A₁ < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix The…

A: Step 1: