Needed to invert a matrix for some relativity problem. It's probably wrong, don't use.
ts-node index.ts
Trace:
let A =
[ -1, 0, 3
11, 5, 2
6, 12, -5 ]
tr(A) = -1
Mul:
Let A =
[ 1, 2
3, 4 ]
Let B =
[ 2, 0
1, 2 ]
A x B =
[ 4, 4
10, 8 ]
B x A =
[ 2, 4
7, 10 ]
Pow:
Let A =
[ 1, 2
3, 4 ]
A^2 =
[ 7, 10
15, 22 ]
Splice:
Let A =
[ 0, 1, 2, 3
4, 5, 6, 7
8, 9, 10, 11
12, 13, 14, 15 ]
splice(A, 1, 2)
[ 0, 1, 3
8, 9, 11
12, 13, 15 ]
det:
Let A =
[ 4, 6
3, 8 ]
det(A) = 14
Let B =
[ 6, 1, 1
4, -2, 5
2, 8, 7 ]
det(B) = -306
Let C =
[ 1, 3, 1, 4
3, 9, 5, 15
0, 2, 1, 1
0, 4, 2, 3 ]
det(C) = -4
adj:
Let A =
[ -3, 2, -5
-1, 0, -2
3, -4, 1 ]
adj(A) =
[ -8, 18, -4
-5, 12, -1
4, -6, 2 ]
inverse:
Let A =
[ 7, 2, 1
0, 3, -1
-3, 4, -2 ]
Inverse(A) =
[ -2, 8, -5
3, -11, 7
9, -34, 21 ]
A * Inverse(A) =
[ 1, 0, 0
0, 1, 0
0, 0, 1 ]