Consider the matrix. Is the answers below right? Consider the matrices23A :34and B= [1 0 -2 0 5 4].152-3For k =we have row(A) a subspace of RK .For I =2|we have null(A) a subspace of R' .For p1we have col(B) a subspace of RP .6For q =we have null(B) a subspace of Rº .||

Consider the matrices 3 A =| 3 4 and B = 0 -2 0 5 4]. %3D 1 5 -3 For k we have row(A) a subspace of RK . For / 2 we have null(A) a subspace of R' . 1 For p = we have col(B) a subspace of R' . For g = we have null(B) a subspace of Rº .

Consider the matrices 3 A =| 3 4 and B = 0 -2 0 5 4]. %3D 1 5 -3 For k we have row(A) a subspace of RK . For / 2 we have null(A) a subspace of R' . 1 For p = we have col(B) a subspace of R' . For g = we have null(B) a subspace of Rº .

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Consider the matrix. Is the answers below right?

Consider the matrices
2
3
A :
3
4
and B
= [1 0 -2 0 5 4].
1
5
2
-3
For k =
we have row(A) a subspace of RK .
For I =
2|
we have null(A) a subspace of R' .
For p
1
we have col(B) a subspace of RP .
6
For q =
we have null(B) a subspace of Rº .
||

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