dsh-linalg
用于 DeepSeek Harness (dsh) 的线性代数工具箱：矩阵乘法、行列式、逆矩阵、迹、转置、RREF、带有唯一解/无穷多解/无解分类的线性方程组求解器，以及向量运算（点积/叉积/范数/投影/角度）——零运行时依赖
插件会安装到这里；不确定时保持 web。
npx -y @deepseek-ai/dsh plugin --profile web add github:TYEclipse/dsh-linalg#6167204286846f40249dbd1e90384fb135f37124Linalg 以 dsh-linalg 发布，当前版本为 0.1.3。Plugin Hub 会校验它的 manifest，并保存精确安装来源，便于复现安装结果。
Linear algebra toolbox for DeepSeek Harness (dsh): matrix multiply, determinant, inverse, trace, transpose, reduced row echelon form, a linear system solver that classifies unique / infinitely many / no solutions, and vector operations (dot / cross / norm / projection / angle).
Zero runtime dependencies, pure local arithmetic — no network, no processes, no eval.
Language models frequently make arithmetic errors on matrix multiplication, determinants, inverses and linear systems. This plugin hands those computations to exact local code with Gaussian elimination and partial pivoting, so results are deterministic and correct to 10 decimal places.
dsh plugin --profile web add github:TYEclipse/dsh-linalg
Replace web with your profile name. (Requires pnpm on your PATH.)
| Tool | What it does |
|---|---|
matrix_multiply | Multiply two matrices A·B with dimension checking |
matrix_compute | One operation per call: transpose, determinant, inverse, trace, rref |
solve_linear | Solve Ax = b; classifies unique / infinite (particular + nullspace basis + free-variable count) / no solution |
vector_ops | dot, cross (3D), norm, projection, angle (degrees) |
Input matrices are plain JSON arrays of arrays, e.g. [[1, 2], [3, 4]]. Maximum dimension is 20×20 by default (configurable).
Determinant:
matrix_compute(matrix=[[2,1,1],[1,3,2],[1,0,0]], op="determinant") → -1
Inverse:
matrix_compute(matrix=[[4,7],[2,6]], op="inverse")
→ [[0.6,-0.7],[-0.2,0.4]]
Solve 2x+3y=8, x−y=1:
solve_linear(a=[[2,3],[1,-1]], b=[8,1])
→ unique solution: [2.2, 1.2]
Under-determined system (1 equation, 3 variables) reports the full parametric form:
solve_linear(a=[[1,1,1],[1,2,3]], b=[6,14])
→ kind=infinite, particular=[-2,8,0], nullspaceBasis=[[1,-2,1]], freeVariableCount=1
Cross product:
vector_ops(op="cross", a=[1,2,3], b=[4,5,6]) → [-3,6,-3]
Angle between [3,4] and the x-axis:
vector_ops(op="angle", a=[3,4], b=[4,0]) → 53.1301023542 (degrees)
roundPlaces); values below 5e-12 are snapped to exactly 0, so -0 never appears.kind: "none" with the reducing row equation.- name: 'github:TYEclipse/dsh-linalg'
config:
maxDimension: 20 # max rows/columns (1–50)
roundPlaces: 10 # decimals in every output number (1–15)
pnpm install
pnpm build
pnpm test
pnpm lint
MIT