Explain why S is not a basis for R2. S = {(-6, 6)} O sis linearly dependent. S does not span R². S is linearly dependent and does not span R².

Q: Find a basis for R that includes the vectors (2, -1, 5) and (4, 5, -5) {(2, -1, 5), (4, 5, -5), )}

A: Idea is we try to find a vector which is not in the span of given two vectors now collection of…

Q: Let B = (v₁.....V₁) be a linearly independent set in R". Explain why B must be a basis for R".

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Q: Find an orthonormal basis of the plane ¤1 + 5x2 – x3 = 0. %3D

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Q: Show that S = {t+1,t-1,(t-1)2} be a basis of P2, the vector space of all second-degree real…

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Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

A: It is an important part of statistics. It is widely used.

Q: Find all values of a e R such that {(1,2,5), (a, -2,5), (-3,6,5)} forms a linearly independent set…

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Q: The set is a basis for R². Find the coordinates of the vector a = [*]B= 0 [-24] relative to the…

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Q: Consider the ordered basis 3 = {1, 1+ x, 1+ x + x²}. Given that %3D [1+ 2л + За?]8 — (а, b, с)*,…

A: Given β=1,1+x,1+x+x2 And 1+2x+3x2β=a,b,ct We have to find value for a,b and c…

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.