(1) (a) Find all solutions of Ax = 0, where -(7) -3 5 A = -6 7 1 and write them in parametric vector form. Describe this set of solutions as a line in R³. (i). (b) Find all solutions of Ax = b, where A is as above and b Write them in parametric vector form, and describe this set of solutions as a line in R³

(1) (a) Find all solutions of Ax = 0, where -(7) -3 5 A = -6 7 1 and write them in parametric vector form. Describe this set of solutions as a line in R³. (i). (b) Find all solutions of Ax = b, where A is as above and b Write them in parametric vector form, and describe this set of solutions as a line in R³

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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Concept explainers

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

(1) (a) Find all solutions of Ax = 0, where
-(7)
-3 5
A =
-6 7
1
and write them in parametric vector form. Describe this set of solutions as a line in
R³.
(i).
(b) Find all solutions of Ax =
b, where A is as above and b
Write them in
parametric vector form, and describe this set of solutions as a line in R³

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