3 -3 2 6 -3 7 (1.8) Consider the set spanned by the columns of B = 6 3 16 9 -3 21| Please write an equation describing all vectors in the span of the columns of B. Can you write another equation describing all the vectors in R* that are not in the span of the columns of B?

Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do…

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Q: Q1 () 1 U2 = uj 2 Given are the vectors and Span{v1, v2} a) Determine if these vectors are in the…

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Q: If kk is a real number, then the vectors (1,k),(k,k+2) are linearly independent precisely when…

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Q: 3. Determine if the sets of vectors given are LI or LD and explain how you know. a) {(3,4),…

A: Here we apply theorems from linearalgebra.

Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3…

A: Let there exist a, b, c such that0=av1+bv2+cv3

Q: Which of the following vectors MUST be linearly dependent? here a,b,c,d,e,f,g,h,i,j,k & l are real…

A: The objective is to find that which of the vector must be linearly dependent It is given that…

Q: Find the length of the vector x=x= |x|=|x|=

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Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: how can one show that three vectors span R^3?

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Q: a. Determine whether the given vectors span R. )=く2,3,2>,。= , 3= = <3,4+2,る=<a,-3,57,7z=<5,-2,87,=く…

A: 9(b) dimension of R^3 is three but there are 4 vectors in the set therfore it cannnot be span of R^3

Q: 7. Sara wants to show that (a × b) × ê ‡ à × (b × c). Yasmina says that it is impossible and comes…

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Q: s of a and b for which the following vectors a + b, 24), v = (-10, 15, a - b) D, b = 2 9, b = 2

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Q: 6. Find the largest possible number of independent vectors among V3 = V4 = V6 = Justify your answer.

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Q: Which of the following set of vectors Span ? [{1,-1,2),(0,1,1)] [{1,2,-1),(6,3,0),(4,-1,2),(2,-5,4)]

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Q: Suppose that vi = (2, 1, 0, 3), v2= (3, – 1, 5, 2), and v3 = (- 1, 0, 2, 1). Which of the following…

A: Given:-             Suppose that v 1 =(2, 1, 0, 3), v 2=(3, – 1,5,2), and v 3=(-1,0, 2, 1). Which of…

Q: 7. Sara wants to show that (a × b) × ĉ ‡ â × (6 × č). Yasmina says that it is impossible and comes…

A: This question from vector calculus.

Q: (i) Prove that { (1, 2, 1) , (2, 1, 5) , (1, –4, 7) } is linear dependent subset of R³. (ii)…

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Q: 6. We have two vectors: a =) and b= 8 What is the resultant of -a plus b? (

A: Given:     To find: -a + b

Q: If a, b, and c are three non zero vectors, such that axa= axc and a ·b = a·c, then it is true that b…

A: a→, b→ and c→ are three non zero vectors.  Given, a→·b→=a→·c→ a→·b→-a→·c→=0a→b→-c→=0Either b→=c→ or…

Q: List five vectors in Span{v,, v2}. Do not make a sketch. -9- V1 3 V2 = -7 List five vectors in Span…

A: Let x→ is spanned by v1 &amp; v2 . write in matrix form first and then reduce it by row operation.…

Q: Determine if the vectors vị = (1,2, 3), v2 = (1,-1,–3), v3 = (1, 1, 1) span R³.

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Q: 2 aj = a2 = az = b = Determine if vector b is a linear combination of vectors a1, a2, and аз. Show…

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Q: 5. Choose ONE strategy shown in class to verify that the vectors: = (1.3, -1).5, = (2.1,1)and i, =…

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Q: 4. Given the vectors 3 -3 -6 X1 = -2 X2 = X3 = 4 4 what is the dimension of Span(x1, X2, X3)?

A: The given vectors are,x1=3-24, x2=-32-4 and v3=-64-8

Q: ving decide if the statement is true or false. Remember a mathematical statement is true only if it…

A: True   The detailed solution is as follows below:

Q: Suppose that v1 = (5, 1, 0, 5), v2 = (5, -3, 6, 2) and v3 = (-5,0, 5, 2). %3! Is the following…

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Q: 2) Let ā = (),: = ), c = (_ be 3 vectors. a) Write 2b – č as a column vector. b) Saif says that the…

A: we have given three vectors . We have to write the following

Q: Find three different vectors that are in the span of the given vectors. 9- 7 U2 = 4 -2 6. 2

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Q: A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a…

A: Given u=2,2 and v=-2,2

Q: (5, 2, 1) span R³? 1. Do the vectors 1 Explain. [In other words, is the set A = (1, 1, 2), ī2 (2, 3,…

A: We have vectors -  v1 = (1,1,2) , v2 = ( 2,3,4) , v3 = (3,4,6) , v4 = (5,2,1)  We have to check this…

Q: 10 -2 -2 -2 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. - 16 Let A = 0 2…

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Q: Are the vectors 3 - 37 + 127?, 9 – 15x + 3x² and -6 – 18æ + 15x² linearly independent? choose If the…

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Q: The zero vector 0= (0, 0, 0) can be written as a linear combination of the vectors v, Va, and v,…

A: We have to find a non-trivial way of writing 0 as a linear combination of three vectors.…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, va, and v,…

A: Please see the below picture for detailed solution.

Q: 37. 7.5,u are vectors. C = (-8,10),5 = (0,-3),7 =7 +5. What are the coordinates of ? O a. (7,-8) O…

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Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…

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Q: Suppose that v1 = (4, 1, 0, 4), v2 = (2, -4, 5, 2) and v3 = (-2, 0, 3, 6). Is the following vector…

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Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 3 5 A = 0 1 2…

A: Define linear transformation T: V(F)→V'(F) where V(F), V'(F) be vector spaces over field F  Null…

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p…

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Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 2 4 A = 0 1 3…

A: According to the given information, it is required to find an explicit description of Nul(A).

Q: -22 -18 and = 2 Find out the area of the triangle whose two sides are given by the vectors: v = 8…

A: Area =12v1×v2

Q: Let R, have the Eucidean inner product. Find two unit vectors that are orthogonai to all three…

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Q: Suppose that A= 2 6 2 [-1 1 1] Describe the solution space to the equation Ax = 0. Describe the…

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v,, and v,…

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Q: Q3/ Determine whether the given vectors are orthogonal, parallel or neither: (1) u =(-2, 6, -4) , v…

A: Given that two vector u and v and prove that its orthogonal , parallel or neither.     Here i…

Q: 8. a. Using the vectors = (3, 3, 1) and ỷ = (-1, 2, –3), verify that the following formula is true:…

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Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.