Consider the matrix 4 -1 1 -2 -3 A = 2 -2 2 2 4047 -1 3 -6 6 -4 -7 7 (a) Find a basis for the null space. (b) Write the solution to Ax = (94-5-6) as a sum of the homogeneous and a particular solution.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Consider the matrix
4
-1
1
-2 -3
A =
2
-2
2
2
4047
-1
3
-6
6
-4
-7
7
(a) Find a basis for the null space.
(b) Write the solution to Ax = (94-5-6) T as a sum of the homogeneous and a particular
solution.
Transcribed Image Text:Consider the matrix 4 -1 1 -2 -3 A = 2 -2 2 2 4047 -1 3 -6 6 -4 -7 7 (a) Find a basis for the null space. (b) Write the solution to Ax = (94-5-6) T as a sum of the homogeneous and a particular solution.
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