Let u and v Show that is in Span (u, v) for all x and y. O A. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is not in Span (u, v). B. Dotermine if the system containing u, v, and b is consistent. If the system is consistent, then b is in Span (u, v). C. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in Span (u, v). O D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span (u, v). Find the augmented matrix [u vb] Let b How is a system determined as consistent? COA. Solve for the variables after setting the equations equal to 0. B. A system is consistont only if all of the variables equal each other. OC. A nystem is consistent if there are no solutions. OD. A system is consistent if there is one solution or infinitely many solutions. Row reduce the augmented matrix to its reduced echelon form, The svstem is for all values of x and v. So it can be stated that is in Soan (u. v) for all values of x and v.

Q: Let P1, P2, P3, .. , P78 be some coplanar points with k lines on the same plane. If exactly two line…

A: Given,  P1, P2,P3,...,P78 be some coplanar points with k lines on the same plane. If exactly…

Q: 1 - 3 2 Let v, = - 3 -2 Determine if the set {v4 is linearly independent. 7 -2 - 4

A:

Q: Let X={a,b,c} and Y=∅. What is X∪Y?

A:

Q: Exercise 3.48. Let A,B,C,D be points such that AB = CD. Prove that {A, B} = {C,D}.

A:

Q: Determine whether w is in the column space of A, the null space of A, or both. 3 7 5 -6 3 1 A = 0 -4…

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Q: Which of the following set S is a spans R"? a. S = {(2, 1), (2, 1)} b. S = {(1,2, 3), (3, 2, 1)} c.…

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Q: Let U(-5, -4, 3, 4, 6), V(-4, 1, 7, 1, 0). Find the inner product U.V

A:

Q: Let A,B,C⊆U. If n(U)=65, n(A)=24, n(B)=28, n(C)=32, n(A∩B)=15, n(A∩C)=7, n(B∩C)=11, and…

A: Given information: nA'∩B'∩C'=9nU-nA∩B∩C=965-nA∩B∩C=9       nA∩B∩C=65-9…

Q: Let Asfl,2,3} and The relations Ri=f(),(2,),(3,2) | find the following Ye lations

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Q: Let C denote the set of all ordered pairs (a, b) with a,b & R. L.e., C:= {(a,b): a,b € R}. Define…

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Q: Let A=span(u,v) and B=span(u,v,w). Which statement is true? - A ≠ B and that is all you can say…

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Q: Find the union and intersection of the following pairs of bags: a. [p, p, [q, q], [q, q]] and [q, q,…

A: a) The bags given are  [p, p, [q,q], [q,q]]  [q,q,p,p] Union = [p, q ,[q,q]] Intersection = [p]

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Q: Example: If A = {1, 2, 3,4,5}, B = {1, 2,4}, C = {2, 3,5}, verify that, A×(B∩C) = (A×B)∩(A×C)

A: Simplify LHS: LHS=A×B∩C=1, 2, 3, 4, 5×1, 2, 4∩2, 3, 5=1, 2, 3, 4, 5×2=1, 2, 2, 2, 3, 2, 4, 2, 5, 2

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Q: Find P(C1)  l. Find P(V4)  m. Find P(C1 ∩∩ V4)

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A:

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×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.