10.9. EXERCISES 217
10.9 Exercises
1. Find an LU factorization of
1 2 02 1 31 2 3
.
2. Find an LU factorization of
1 2 3 21 3 2 15 0 1 3
.
3. Find an LU factorization of the matrix
1 −2 −5 0−2 5 11 33 −6 −15 1
.
4. Find an LU factorization of the matrix
1 −1 −3 −1−1 2 4 32 −3 −7 −3
.
5. Find an LU factorization of the matrix
1 −3 −4 −3−3 10 10 101 −6 2 −5
.
6. Find an LU factorization of the matrix
1 3 1 −13 10 8 −12 5 −3 −3
.
7. Find an LU factorization of the matrix
3 −2 19 −8 6−6 2 23 2 −7
.
8. Find an LU factorization of the matrix
−3 −1 39 9 −123 19 −16
12 40 −26
.
9. Find an LU factorization of the matrix
−1 −3 −11 3 03 9 04 12 16
.