Matrix Decomposition

(the database of solved problems)

All the problems and solutions shown below were generated using the Lu and Cholesky Decomposition.

Select category

ID	Problem	Count
1	Find the cholesky decomposition of the matrix: $A = 16 - 12 - 12 - 16 - 12 251 - 4 - 12 11714 - 16 - 4 1457$	23
2	Find the LU decomposition of the matrix: $A = 1 - 1 - 2 2 211 - 2 321 - 1 - 1 1 - 2 - 1$	17
3	Find the cholesky decomposition of the matrix: $A = [12121215]$	12
4	Find the LU decomposition of the matrix: $A = 38 - 3 2 - 3 4 181$	8
5	Find the cholesky decomposition of the matrix: $A = 4686101481429$	7
6	Find the cholesky decomposition of the matrix: $A = \frac{1163}{100} 2016 208050165060$	7
7	Find the cholesky decomposition of the matrix: $A = 111122127$	6
8	Find the cholesky decomposition of the matrix: $A = 154263 4163 - 2 - 4 231872 6 - 2 775 3 - 4 2510$	6
9	Find the cholesky decomposition of the matrix: $A = 4 - 1 0 - 1 4 - 1 0 - 1 4$	6
10	Find the cholesky decomposition of the matrix: $A = 2 - 1 0 - 1 2 - 1 0 - 1 2$	6
11	Find the cholesky decomposition of the matrix: $A = 202523132201742523226397027662191313397053573415272122027663415249618971742191272118971616$	5
12	Find the cholesky decomposition of the matrix: $A = \frac{1219}{100} 2016 208050165060$	5
13	Find the cholesky decomposition of the matrix: $A = \frac{46}{5} 2016 208050165060$	5
14	Find the cholesky decomposition of the matrix: $A = 12 - 1 260 - 1 09$	5
15	Find the cholesky decomposition of the matrix: $A = 424256469$	5
16	Find the LU decomposition of the matrix: $A = 111124148$	5
17	Find the LU decomposition of the matrix: $A = 111121113$	5
18	Find the LU decomposition of the matrix: $A = 131 11 - 2 1 - 3 - 5$	5
19	Find the LU decomposition of the matrix: $A = 693 - 2 - 1 7 015$	5
20	Find the cholesky decomposition of the matrix: $A = \frac{623}{50} 2016 208050165060$	5
21	Find the LU decomposition of the matrix: $A = 141001410014100 0 - 2 400 2411000$	5
22	Find the cholesky decomposition of the matrix: $A = 1 - 2 - 4 - 2 5 - 4 - 4 - 4 164$	5
23	Find the cholesky decomposition of the matrix: $A = 1 - 1 2 - 1 50 206$	5
24	Find the cholesky decomposition of the matrix: $A = [4225]$	4
25	Find the cholesky decomposition of the matrix: $A = 111121113$	4
26	Find the cholesky decomposition of the matrix: $A = 13 - 24 310 - 48 - 24 - 48 1216$	4
27	Find the cholesky decomposition of the matrix: $A = 3 - 1 0 - 1 3 - 1 0 - 1 3$	4
28	Find the cholesky decomposition of the matrix: $A = 2515 - 5 15180 - 5 011$	4
29	Find the cholesky decomposition of the matrix: $A = 111122123$	4
30	Find the cholesky decomposition of the matrix: $A = [16 - 12 - 12 25]$	4
31	Find the LU decomposition of the matrix: $A = 2 - 1 0 - 1 2 - 1 0 - 1 2$	3
32	Find the cholesky decomposition of the matrix: $A = \frac{279}{25} 2016 208050165060$	3
33	Find the cholesky decomposition of the matrix: $A = 622241215$	3
34	Find the cholesky decomposition of the matrix: $A = [10020]$	3
35	Find the cholesky decomposition of the matrix: $A = [10000 - 2500 - 2500 2500]$	3
36	Find the cholesky decomposition of the matrix: $A = 61555155522555225979$	3
37	Find the LU decomposition of the matrix: $A = [32 - 1 6]$	3
38	Find the LU decomposition of the matrix: $A = 0000 01 \frac{1}{2} 1 0 \frac{1}{2} 1 \frac{1}{2} 01 \frac{1}{2} 1$	3
39	Find the LU decomposition of the matrix: $A = [12121215]$	3
40	Find the cholesky decomposition of the matrix: $A = 82016208050165060$	3
41	Find the cholesky decomposition of the matrix: $A = 1 - 7 - 12 - 7 5042 - 12 421944$	3
42	Find the cholesky decomposition of the matrix: $A = 5000005000005000005000005$	3
43	Find the cholesky decomposition of the matrix: $A = 4 - 1 - 1 0 - 1 40 - 1 - 1 04 - 1 0 - 1 - 1 4$	3
44	Find the cholesky decomposition of the matrix: $A = 4111 13 - 1 1 1 - 1 20 1102$	2
45	Find the cholesky decomposition of the matrix: $A = [25 - 50 - 50 101]$	2
46	Find the cholesky decomposition of the matrix: $A = \frac{1141}{100} 2016 208050165060$	2
47	Find the LU decomposition of the matrix: $A = 1 - 7 - 12 - 7 5042 - 12 421944$	2
48	Find the LU decomposition of the matrix: $A = 284 1 - 3 11 42 - 1$	2
49	Find the LU decomposition of the matrix: $A = 4 - 1 00 - 1 4 - 1 0 0 - 1 4 - 1 00 - 1 4$	2
50	Find the cholesky decomposition of the matrix: $A = [12213]$	2