det

det(M)

Matrix determinant

Examples

  1. Calculate the determinant of a 2x2 matrix:

    julia> M = [1 2; 3 4];
    julia> det(M)
    -2.0

    This example calculates the determinant of the 2x2 matrix M.

  2. Compute the determinant of a 3x3 matrix:

    julia> M = [1 2 3; 4 5 6; 7 8 9];
    julia> det(M)
    0.0

    It calculates the determinant of the 3x3 matrix M.

  3. Handle non-square matrices:
    julia> M = [1 2 3; 4 5 6];
    julia> det(M)
    ERROR: LinearAlgebra.SingularException(2)

    In this example, the function throws a SingularException because the matrix M is not square. The determinant can only be calculated for square matrices.

Common mistake example:

julia> M = [1 2; 3 4; 5 6];
julia> det(M)
ERROR: DimensionMismatch("matrix must be square")

Here, the mistake is providing a non-square matrix as input to the det function. Ensure that the matrix passed to det is square (same number of rows and columns) to avoid this error.

See Also

Ac_ldiv_B, Ac_ldiv_Bc, Ac_mul_B, Ac_mul_Bc, Ac_rdiv_B, Ac_rdiv_Bc, At_ldiv_B, At_ldiv_Bt, At_mul_B, At_mul_Bt, At_rdiv_B, At_rdiv_Bt, A_ldiv_Bc, A_ldiv_Bt, A_mul_B!, A_mul_Bc, A_mul_Bt, A_rdiv_Bc, A_rdiv_Bt, Bidiagonal, cond, conv2, det, diag, diagind, diagm, diff, eig, eigvals, eigvecs, expm, eye, full, inv, isdiag, ishermitian, isposdef, isposdef!, issym, istril, istriu, logabsdet, logdet, lyap, norm, qrfact, rank, repmat, rot180, rotl90, rotr90, sortrows, sqrtm, SymTridiagonal, trace, Tridiagonal, tril, tril!, triu, triu!, writedlm,

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