bound on coefficients of a determinant
Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.
- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.
The function hadamard computes a bound on the maxnorm of det⁡A where A is an n by n matrix whose coefficients lie in the domain Z, Q, R, Z[x], Q[x], or R[x].
For Z, the classical inequality of Hadamard is :
The command with(linalg,hadamard) allows the use of the abbreviated form of this command.
A ≔ matrix⁡3,3,1,−1,0,0,2,−1,−2,0,1
A ≔ 1−1002−1−201
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