Inverse

Inverse(matrix)

computes the inverse of the matrix.

See:

• Wikipedia - Invertible matrix
• Youtube - Inverse matrices, column space and null space | Essence of linear algebra, chapter 7

Examples

>> Inverse({{1, 2, 0}, {2, 3, 0}, {3, 4, 1}})
{{-3,2,0},
 {2,-1,0},
 {1,-2,1}}

The matrix {{1, 0}, {0, 0}} is singular.

>> Inverse({{1, 0}, {0, 0}})
Inverse({{1, 0}, {0, 0}})

>> Inverse({{1, 0, 0}, {0, Sqrt(3)/2, 1/2}, {0,-1 / 2, Sqrt(3)/2}})
{{1,0,0},
 {0,Sqrt(3)/2,-1/2},
 {0,1/2,1/(1/(2*Sqrt(3))+Sqrt(3)/2)}}

Implementation status

• ✅ - full supported

Github

• Implementation of Inverse