Answered: 2b Let W = { "] | a, b e R}. a. Find a…

2b Let W = { "] | a, b e R}. a. Find a basis for W. (Your work here proves that W is a subspace of M2x2, the collection of all 2 x 2 matrices, under its usual operations) b. State the dimension of W.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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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.

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2b
{{; "] 1a,b e R}.
Let W =
a. Find a basis for W. (Your work here proves that W is a subspace of M2x2, the collection of all 2 x 2
matrices, under its usual operations)
b. State the dimension of W.

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