mathjs/docs/reference/functions/usolve.md

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Function usolve #

Finds one solution of a linear equation system by backward substitution. Matrix must be an upper triangular matrix. Throws an error if there's no solution.

U * x = b

Syntax #

math.usolve(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	A column vector with the linear system solution (x)

Throws #

Type	Description

Examples #

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

See also #

usolveAll, lup, slu, usolve, lusolve