2. (15 points) Let A be the 3 x 4 matrix 1 1 1 1 (10 23 24 4 5 4 6 (a) (5 points) Give a basis of the kernel of the matrix A. (b) (5 points) Give a basis of the image of the matrix A. (c) (5 points) Find the solutions to the linear system Ax =

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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Am.111.

2. (15 points) Let A be the 3 x 4 matrix
1 1 1 1
(10
23 24
4 5 4 6
(a) (5 points) Give a basis of the kernel of the matrix A.
(b) (5 points) Give a basis of the image of the matrix A.
(c) (5 points) Find the solutions to the linear system Ax =
Transcribed Image Text:2. (15 points) Let A be the 3 x 4 matrix 1 1 1 1 (10 23 24 4 5 4 6 (a) (5 points) Give a basis of the kernel of the matrix A. (b) (5 points) Give a basis of the image of the matrix A. (c) (5 points) Find the solutions to the linear system Ax =
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