Use the fact that matrices A and B are row-equivalent.[1 2 12 5 11A =3 7 22 -24 9 3 -141 03 0 -40 1 -1 00 0 0 1 -20 0 0 02B =(a) Find the rank and nullity of A.ranknullity(b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A.(d) Find a basis for the column space of A.(e) Determine whether or not the rows of A are linearly independent.O independentO dependent(f) Let the columns of A be denoted by a,, az, a3, a4, and as. Which of the following sets is (are) linearly independent? (Select all that apply.)O {a,, a2, a4}O {a1, az, a3}O {a1, a3, a5}

As per the rules we can only able to solve the first three questions So i solved the first three.

Answered: 1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1…

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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1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1 0 0 1 -1 0 0 0 0 1 -2 3 0 -4 2 B = 0 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A.