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(a) find k such that Nul A is a subspace of ℝk, and (b) find k such that ColA is a subspace of ℝk,A = [1 -3 9 0 -5]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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(a) find k such that Nul A is a subspace of ℝk, and (b) find k such that ColA is a subspace of ℝk,A = [1 -3 9 0 -5]

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