Tutorial2024Proposed solution included

MATS 2207 Numerical Analysis I Tutorial 2024

About this paper

MATS 2207 Numerical Analysis Tutorial (First semester), Faculty of Science, University of Buea: Gaussian elimination with pivoting, LU factorization.

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University of Bamenda

Faculty of Science - FS

Mathematics & Computer Science - MCS

MATS22072024

Numerical Analysis I

Tutorial · Second Semester · Level 200

From this paper

  1. 4.

    Show that the matrix ⎛⎜⎜⎜⎜⎜ ⎝ 2 2 1 1 1 1 3 2 1 ⎞⎟⎟⎟⎟⎟ ⎠ is invertible but has no LU factorization. Do a suitable interchange of rows and/or columns to get an invertible matrix, which has an LU factorization.

  2. 10.

    Show that κ(A) ≥ 1 for any n × n non-singular matrix A.

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At a glance

Course code
MATS2207 (MATS 2207)
Type
Tutorial
Year
2024
Level
Level 200
Semester
Second Semester
Proposed solution
Included

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