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│ computation suite │
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math.matrix-trace-norm Calculator
Calculates matrix trace (sum of diagonal elements), Frobenius norm, and rank estimate for a square matrix. The trace is the sum of eigenvalues; the Frobenius norm is the square root of sum of squared elements — both are matrix invariants.
Inputs
A11
Reference formula or conversion factor shown for context.
A12
Reference formula or conversion factor shown for context.
A13
Reference formula or conversion factor shown for context.
A21
Reference formula or conversion factor shown for context.
A22
Reference formula or conversion factor shown for context.
A23
Reference formula or conversion factor shown for context.
A31
Reference formula or conversion factor shown for context.
A32
Reference formula or conversion factor shown for context.
A33
Reference formula or conversion factor shown for context.
Results
trace tr(M)
Reference formula or conversion factor shown for context.
Frobenius norm ||M||_F
Sample size or count used in the calculation.
max absolute entry
Sample size or count used in the calculation.
sum of all entries
The arithmetic total of all input values.
rank (estimate from zero rows)
The position in an ordered list, from best to worst or lowest to highest.