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Put the vectors in a set and write span

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A matrix is diagonalizable when it is invertible

- Matrix Must Be invertible
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Repeat for each eigenvalue

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Find the kernel

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Get matrix in RREF

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Plug in each eigenvalue for (𝞴 - AIn)

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Find all eigenvalues of the matrix

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Sarrus rule

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laplace co-factor expansion

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multiplying diagonals
Upper/Lower Triangular Transformation

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Repeat for each eigenvalue

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Solve for the kernel

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Get the matrix in RREF

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Plug in eigenvalues for (A--𝞴I)V = 0

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Calculate characteristic polynomial: det(A-𝞴I)

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Find (A-𝞴In)

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Process to Find an Eigenvalue's  Eigenspace

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Process to Find an Eigenvalue's  Eigenspace