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Introduction to Linear Algebra

Exercise 3.1.27

Answers

(a): False: Vectors that are not in a column space don’t form a subspace;
(b): True: Only the zero matrix has $C (A) = {0}$ ;
(c): True: $C (A) = C (2 A) .$
(d): False: $C (A - I) \neq C (A)$ when $A = I$ or $A = [\begin{matrix} 1 & 0 \\ 0 & 0 \end{matrix}]$
(or other examples).

mathchakra

2022-01-16 13:27

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