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Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of R4. 2 4 6 8 A= -3 5 3 -3 -1 4 2

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 10EQ

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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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Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of R9.
2 4 6
8
A =
-3 5 3 -3
-1 4 2

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