Answered: {(: ) : (d) : a, b, cE R. C

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Advanced Math

{(: ) : (d) : a, b, cE R. C

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

Let the set R(2×2) of 2×2-matrices be a vector space.

Let A∈R2×2, (I) be the identity matrix, and x∈R.

Determine whether the following sets are subspaces of R2×2:

(d) {(a b 0 c): a, b, c ∈ R}.

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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