Suppose S and T are two subspaces of a vector space V.(a) Definition: The sum S + T contains all sums s + t of a vectors in S and a vector tin T. Show that S + T satisfies the requirements (addition and scalar multiplication) for a vector space.(b) If S and T are lines in Rm , what is the difference between S + T and S U T? That union contains all vectors from S or T or both. Explain this statement: The span of SU T is  S + T. (Section 3.5 returns to this word "span".)

Q: - c(13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18) Fine the vector y by the…

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A: Given, W=ab2a+b where a and b are real numbers.

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A: I have proved T is a subspace

Q: Sketch all four subspaces associated to mat 1 2 A = 3 6

A: Respected student, By Bartleby guidelines we have solved all the four subspaces with the first…

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A: This question is related to linear algebra (inner product space).

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A: Span of R3 .

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Q: a) Find all the real numbers à such the vectors 1- x 1+x and x+1 1 are orthogonal.

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A: Let us find the projections.

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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.