Exercise 2. True or False (give a counterexample when False) a. The vectors b that are not in column space C(A) form a subspace. b. If C(A) contains only the zero vector, then A is the zero matrix. c. The column space of 2A equals the column space of A. d. If A is a square matrix, the column space of A – I equals the column space of A.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Exercise 2. True or False (give a counterexample when False)
a. The vectors b that are not in column space C(A) form a subspace.
b. If C(A) contains only the zero vector, then A is the zero matrix.
C.
The column space of 2A equals the column space of A.
d. If A is a square matrix, the column space of A – I equals the column space of A.
Transcribed Image Text:Exercise 2. True or False (give a counterexample when False) a. The vectors b that are not in column space C(A) form a subspace. b. If C(A) contains only the zero vector, then A is the zero matrix. C. The column space of 2A equals the column space of A. d. If A is a square matrix, the column space of A – I equals the column space of A.
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