Linear Algebra

Spectral Decomposition (Symmetric Matrices)

Decompose a symmetric matrix as A = QΛQáµ€ = Σ λáµ¢ qáµ¢qáµ¢áµ€ — a sum of rank-1 outer products.

Settings

Matrix Size

Auto-symmetrize: A_sym = (A + Aáµ€)/2

Matrix A

Matrix is not symmetric. Enable auto-symmetrize or enter a symmetric matrix.

Enter a symmetric matrix and click Compute.

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Step-by-Step Solution

Steps will appear here after computing.

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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