Create matrix from 2D string array. Example: data: [["1","2"],["3","4"]]

Create n×n identity matrix. Example: n: 3

Create m×n zero matrix. Example: rows: 2, cols: 3

Create diagonal matrix from vector. Example: values: ["5","6","7"]

Evaluate math expression with natural syntax: A*B (matrix multiply), A+B (add), inv(A), det(A), eig(A), svd(A), solve(A,b), lu(A), qr(A), dot(u,v), cross(u,v), norm(v,type), project(u,v), transpose(A), trace(A), rank(A), charpoly(A). Matrix literals: [[1,2],[3,4]]. Vector: [1,2,3]. Use set_variable to define named vars. sid — optional session ID. Omit to auto-generate a new session. lbl — optional label for the session (used when creating a new session).

Store a matrix/vector/scalar under a name for use in evaluate(). Example: name="A", expression="[[1,2],[3,4]]" or "inv([[4,7],[2,6]])" sid — optional session ID. Omit to auto-generate a new session. lbl — optional label for the session (used when creating a new session).

Get value of a stored variable. Example: get_variable({ name: 'A' }) sid — required session ID.

List all defined variables with types/sizes in a session. sid — required session ID.

Clear all stored variables in a session. Resets state. sid — required session ID.

List active sessions with pagination and optional label filter. Use this to discover existing sessions and their labels, then reference them via sid. Results sorted by most recent first.

Set or update the label on an existing session for easier identification. sid — required session ID to tag. lbl — new label (max 64 chars).

Simplify algebraic expression (expands then cancels). Example: expression: "x^2 + 2*x + 1 - (x+1)^2" → 0

Replace variables with numbers or expressions. Multi-var support. Example: expression: "x^2 + y*x", substitutions: {x:"3", y:"2"} → 15

Compute d^n/dx^n of expression. order=1 (default), order=2 for second derivative. Example: expression: "x^3", variable: "x" → 3*x^2

Expand factored expression. Example: expression: "(x+1)*(x-1)" → x^2 - 1

Indefinite integral ∫f(x)dx. Example: expression: "x^2 + sin(x)", variable: "x"

Definite integral ∫[lower,upper] f(x)dx. Returns antiderivative + numeric/symbolic result. Example: expression: "x^2", variable: "x", lower: "0", upper: "2"

Limit lim[x→point] f(x). Supports L'Hôpital (0/0, ∞/∞). point: '0', 'inf', '+inf', '-inf'. Example: expression: "sin(x)/x", variable: "x", point: "0" → 1

Partial derivative ∂^n/∂var^n (multivariable). Treats other vars as constants. Example: expression: "x^2y + sin(z)", variable: "x", order: 2 → 2y