2) Let u =(1,0,0), v = (0,1,0), and W is the set of all vectors (s,s,0) where s is any real number. a) Does span{u,v} = W? Explain why or why not. b) Is {u,v} a basis for W? Explain why or why not.

Q: Let u and v be two vectors such that lul=10, Iv=14, comp,u=4, and projuv= (1,1,1). If u =k (1,1,1),…

A: This question is related to vectors, we will solve it using given information.

Q: 10 -00-0 7 12 5 -8- Are the vectors 6 and linearly independent? Explain! 8

A:

Q: Let {u1, let B be a basis for V. Let S vectors of {u1,·· , Un} with respect to basis B. Prove that ,…

A: Given V is a n- dimensional vector space. Let B be a basis for V. Let B=v1,v2,…,vn. Let u1, u2, …,…

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A:

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A: We will find out the required solution.

Q: The set of which vectors is a basis for A+B Hint: A+B= [aí az a b b2 ba

A: Given A=spana1→, a2→,a3→ , B=spanb1→, b2→,b3→ where, a1→=1,2,0,-1 a2→=0,2,-1,1 a3→=3,4,1,-4…

Q: Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v1, v2, V3) such…

A:

Q: Find the angles between each vector in A where the set of vectors A = { [1, 1, 1], [1, 1, 0], [1, 0,…

A: Question explained below :Explanation:ANSWER :​​

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A: A vector v is said to be in the span of the vectors v1, v2, v3, ……, vn if the vector v can be…

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Q: Define whether these vectors are linearly independent! --- u =| 2 3, 12.

A:

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.