{
"cells": [
{
"id": 0,
"input": "lu 1 2 3 | 4 -6 0 | -2 7 2",
"output": "L = ...\nU = ..."
},
{
"id": 1,
"input": "cholesky 4 12 -16 | 12 37 -43 | -16 -43 98",
"output": "L = ..."
},
{
"id": 2,
"input": "svd 1 2 | 3 4 | 5 6",
"output": "\u03c3 = [9.525518, 0.514301]"
},
{
"id": 3,
"input": "eig 2 1 | 1 2",
"output": "\u03bb \u2248 3, v \u2248 [0.707, 0.707]"
},
{
"id": 4,
"input": "rank 1 2 3 | 4 5 6 | 7 8 9",
"output": "rank = 2"
},
{
"id": 5,
"input": "symlig 2 1 | 1 2",
"output": "eigenvalues: 3, 1"
},
{
"id": 6,
"input": "det 1 2 | 3 4",
"output": "-2"
},
{
"id": 7,
"input": "fft 1 0 -1 0 1 0 -1 0",
"output": "magnitude: [0, 4, 0, 0, 0, 0, 0, 4]"
},
{
"id": 8,
"input": "conv 1 2 3 x 1 1",
"output": "[1, 3, 5, 3]"
},
{
"id": 9,
"input": "stats 1 2 3 4 5 6 7 8",
"output": "mean = 4.5, stddev = 2.291..."
}
]
}