Complete the following sentences appropriately for a 3 × 3 matrix.If the column space is a plane, the null space is aIf the column space is a line, the null space is aIf the column space is all of R³,the null space is aIf the column space is the zero vector, the null space is a(by Find a 7 x 7 matrix A whose column space equals it null space, or argue brieflyit cannot exist.

Answered: Image /qna-images/answer/5c863511-f799-4491-baa8-60705fb9af50.jpg

Sletě the following sentences appropriately for a 3 x 3 matrix. If the column space is a plane, the null space is a If the column space is a line, the null space is a If the column space is all of R ,the null space is a If the column space is the zero vector, the null space is a by Find a 7 x 7 matrix A whose column space equals it null space, or argue briefly it cannot exist.

Sletě the following sentences appropriately for a 3 x 3 matrix. If the column space is a plane, the null space is a If the column space is a line, the null space is a If the column space is all of R ,the null space is a If the column space is the zero vector, the null space is a by Find a 7 x 7 matrix A whose column space equals it null space, or argue briefly it cannot exist.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

See similar textbooks

Similar questions

11. Find two nonzero matrices and such that.
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Determine whether the columns of matrix A span R4. A=[1210130200111001]
Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of B and the column vectors of AB are in the column space of A.
Are the two matrices similar? If so, find a matrix P such that B=P1AP. A=[100020003]B=[300020001]
Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A. Must it be true that A=D?
Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and nullity of AB. b Show that matrices A and B must be identical.