Consider the matrices 5 5 A = | 3 and B = [1 0 8 0 4 1. -4 8. -1 For k = we have row(A) a subspace of RK . For l = we have null(A) a subspace of R'. For p = we have col(B) a subspace of R' . For g we have null(B) a subspace of Rº .
Consider the matrices 5 5 A = | 3 and B = [1 0 8 0 4 1. -4 8. -1 For k = we have row(A) a subspace of RK . For l = we have null(A) a subspace of R'. For p = we have col(B) a subspace of R' . For g we have null(B) a subspace of Rº .
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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Question
Consider the matrixes
What does null (A) mean? I am confused
![Consider the matrices
5
5
A = | 3
and B = [1 0 8 0 4 1.
-4
8.
-1
For k =
we have row(A) a subspace of R* .
For l =
we have null(A) a subspace of R'.
For p =
we have col(B) a subspace of R' .
For g
we have null(B) a subspace of Rº .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af93067-abf5-48b1-b559-b25db1bfb7fd%2F0493ad54-cb09-455c-aa44-eadfbdc59f71%2Fa5ni3s_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the matrices
5
5
A = | 3
and B = [1 0 8 0 4 1.
-4
8.
-1
For k =
we have row(A) a subspace of R* .
For l =
we have null(A) a subspace of R'.
For p =
we have col(B) a subspace of R' .
For g
we have null(B) a subspace of Rº .
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