Answered: Let A be any 5x7 matrix for which the…

Let A be any 5x7 matrix for which the col(A) has dimension 3, calculate: the nullity(A), and, state which vector space R^k that null(A) is a subspace of (give k).

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

Let A be any 5x7 matrix for which the col(A) has dimension 3, calculate:

the nullity(A), and, state which vector space R^k that null(A) is a subspace of (give k).

A. nullity(A)=4, k=7

B. nullity(A)=2, k=5

C. nullity(A)=4, k=5

D. nullity(A)=2, k=7

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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