Given matrix A: a) Find a basis for the zero spaces NulA. b)Find a basis for the column space KolA, and for the row space RadA. c) valify if the vector: [33 8 32] is in the columns space d) Check if the vector(1, −2, 1, −3, 0, 5) is in the row space RadA

Given matrix A: a) Find a basis for the zero spaces NulA. b)Find a basis for the column space KolA, and for the row space RadA. c) valify if the vector: [33 8 32] is in the columns space d) Check if the vector(1, −2, 1, −3, 0, 5) is in the row space RadA

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Given matrix A:

a) Find a basis for the zero spaces NulA.
b)Find a basis for the column space KolA, and for the row space RadA.

c) valify if the vector:

[33

32]

is in the columns space

d) Check if the vector(1, −2, 1, −3, 0, 5) is in the row space RadA

A=
2
-1
3
4 3 -6 -2
3
2 2 3 -6 -5
-6 2 -9
2 7

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Step 1 Echelon form

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Step 3 Basis colA and rowA

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Step 4 linear combination of basis of colA

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