simple-squiggle/node_modules/mathjs/docs/reference/functions/usolveAll.md

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Function usolveAll

Finds all solutions of a linear equation system by backward substitution. Matrix must be an upper triangular matrix.

U * x = b

Syntax

math.usolveAll(U, b)

Parameters

Parameter Type Description
U Matrix, Array A N x N matrix or array (U)
b Matrix, Array A column vector with the b values

Returns

Type Description
DenseMatrix[] | Array[] An array of affine-independent column vectors (x) that solve the linear system

Throws

Type Description

Examples

const a = [[-2, 3], [2, 1]]
const b = [11, 9]
const x = usolveAll(a, b)  // [ [[8], [9]] ]

See also

usolve, lup, slu, usolve, lusolve