Solve a System of Linear Equations — solve.caracas_symbol • caracas

Solve a System of Linear Equations

# S3 method for caracas_symbol
solve(a, b, ...)

Arguments

a: caracas_symbol
b: If provided, either a caracas_symbol (if not, as_sym() is called on the object)
...: Not used

Examples

if (has_sympy()) {
  A <- matrix_sym(2, 2, "a")
  b <- vector_sym(2, "b")
  # Inverse of A:
  solve(A)
  inv(A)
  solve(A) %*% A |> simplify()
  # Find x in Ax = b
  x <- solve(A, b)
  A %*% x |> simplify()
  solve(A, c(2, 1)) |> simplify()
}
#> c: ⎡   -a₁₂ + 2⋅a₂₂       a₁₁ - 2⋅a₂₁   ⎤
#>    ⎢─────────────────  ─────────────────⎥
#>    ⎣a₁₁⋅a₂₂ - a₁₂⋅a₂₁  a₁₁⋅a₂₂ - a₁₂⋅a₂₁⎦ᵀ