(a) Give an example of a 3 x 3 matrix A with C(A) = R³. (b) Give an example of a 3 × 3 matrix A with C(A) a line.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 64E
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(a) Give an example of a 3 x 3 matrix A with C(A) = R³.
(b) Give an example of a 3 x 3 matrix A with C(A) a line.
Transcribed Image Text:(a) Give an example of a 3 x 3 matrix A with C(A) = R³. (b) Give an example of a 3 x 3 matrix A with C(A) a line.
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