A matrix A and an echelon form of A are shown below, Find a basis for Col A and a basis for Nul A. 4. 8 32 - 12 1 3 15 -7 A = 6 12 48 -18 0 1 7 -4 2 3 9 -2 0 0 0 Find a basis for Col A. (Simplify your answer. Use a comma to separate answers as needed.) Find a basis for Nul A. (Simplify your answer. Use a comma to separate answers as needed.)

A matrix A and an echelon form of A are shown below, Find a basis for Col A and a basis for Nul A. 4. 8 32 - 12 1 3 15 -7 A = 6 12 48 -18 0 1 7 -4 2 3 9 -2 0 0 0 Find a basis for Col A. (Simplify your answer. Use a comma to separate answers as needed.) Find a basis for Nul A. (Simplify your answer. Use a comma to separate answers as needed.)

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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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A.
4
8 32 - 12
13 15 - 7
A =
6 12 48 - 18
0 1
7 -4
9.
- 2
0 0 0
Find a basis for Col A.
(Simplify your answer. Use a comma to separate answers as needed.)
Find a basis for Nul A.
(Simplify your answer. Use a comma to separate answers as needed.)

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Solve (c.) only,Do not need a.b. & d.If you need those ans ,you can find those on bartleby
answer a b c