Answered: Find a basis for the nullspace of A.

Math

Advanced Math

Find a basis for the nullspace of A.

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

Use the below to answer the following questions.
1 Find a basis for the nullspace of A.

2 Find a basis for the column space of A.
3 Find the rank and nullity of A.
4 Find a subset of the vectors v1 = (1, −2, 1, −1), v2 = (0, 1, 2, −1), v3 = (0, 1, 2, −1) and
v4 = (0, −1, −2, 1) that forms a basis for the space spanned by these vectors. Explain
clearly.

Question 1
Let A=
1.
ared
arel assume
-1
that
B= -a
is row equivalent to
the motrix
-1
ーコ
-1
ーゴ

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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