Answered: -1 3 5 -15 Let A = -1 3 -4 12 Find k… | bartleby

Linear Algebra: A Modern Introduction

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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-1 3
5 -15
Let A =
-1
3
-4
12
Find k such that Nul(A) is a subspace of R*
Find k such that Col(A) is a subspace of R*
Let B
=
7-3-9-4 -9
Find k such that Row(B) is a subspace of R*
Find k such that Nul(B) is a subspace of R*
9-10
-1
0 4
Let C =
0 4
9
4
9
-1
Find k such that Col(C) is a subspace of R*|
Find k such that Row(C) is a subspace of R*

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(a) Let A 2-4 (b) Let B= -24 2-4 -36 Null(A) is a subspace of R* where k = (c) Let C = Col(A) is a subspace of R* where k= 1 Row(B) is a subspace of R* where k = Null(B) is a subspace of R* where k = Then: 1 -9 -8 -5 7 9 -5 0 -50-4 0-4 9 -49-5 Then: Col(C) is a subspace of R* where k= Row(C) is a subspace of R* where k = Then:

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