Write a system of equations that is equivalent to the given vector equation. 2 -5 + - 9 ... Choose the correct answer below. O A. OB. 2x, + 3x2 - 5x1 = -4 2x1 + 3x, = 4 = 4 - 5x1 = - 4 7x1 - 9x2 = 9 7x1 - 9x2 = 9 %3D OC. 2x, + 3x, = 9 OD. 2x1 + 3x, = 4 - 5x1 - 5x1 + X2 = - 4 = - 4 7x1 - 9х2 = 4 7x1 - 9x2 = 9 %3D

Q: c) Write a system of equations that is equivalent to the vector equation 0 *]+*8+*3] = [] x2 x3 5 x1…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Determine if b is a linear combination of the other vectors. If so, express b as a linear…

A: topic - vectors

Q: Write a vector equation that is equivalent to the given system of equations. X2 + 5x3 = 0 5x1 + 6x2…

A:

Q: The zero vector 0 (0, 0, 0) can be written as a linear combination of the vectors V1, V2, and v3…

A:

Q: (b) x1 + x2 + 2x3 = 5 + x3 = -2 2x1 + x2 + 3x3 = 3 %3D X1 %3D %3D

A: We see from the given system that, if we add first two equations, we will get the third equation.…

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

A:

Q: Given trna -2 0. 1. -1 -4 0. 1 0 2 -1 -1 1 3 -2 write -4 as a linear combination of the vectors -1…

A: We want to write vector in linear combination of given vectors.

Q: Let a= and b=. What is the x-component of the vector -2a+1b? The answer is not -1.

A: Given a=4, 1 and b=7, -7 The above two vectors can be written as a=4i+j and b=7i-7j Since,…

Q: Write a system of equations that is equivalent to the given vector equation. 2 -3 + X3 X1 - 3 + X2 2…

A: We will find which option is correct as following.

Q: 15 |ム=() -40 -30 -20 -10. -5 10 10 -10 15 (8)

A: We have,  x1=-5, 5 and x2=2,-2 This can be done as follows:

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: The zero vector 0=(0, 0, 0) can be written as a linear combination of the vectors v1, v2, and v3…

A: We need to find solution to the linear equations system.

Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

A:

Q: -2 2. a = 3 2 if b = 4 Represent each of the following as a single column vector:, Draw vector…

A:

Q: simplify the given vector expression. -3(a - c) + 2(a + 2b) + 3(c -b)

A: Given that expression, -3(a - c) + 2(a + 2b) + 3(c -b) For any three vectors u, v and w the property…

Q: Which of the following is a vector equation of the equation below: 꼭 3D y-1 Ox = -2 -7t y = 1 + 3t O…

A: Given equation of line is: x+2-7=y-13

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Write down all of the solutions (if any) to the following system of linear equations. Give your…

A:

Q: Let -16 -4' V1 16 and w = 43 Is wa linear combination of V1 and V2? Fill in the coefficients of the…

A: Given that:v1=4-5-1, v2=-16163, w=-44438

Q: simplify the given vector expression. 2(a - 3b) + 3(2b +a)

A: The given vector expression is

Q: Write b as a linear combination of the vectors v1, v2, and v3,  where: (view attachment)   Set up…

A:

Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

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

Q: Write a system of equations that is equivalent to the given vector equation. -2 X1 - 2 4 + 8. X2 +…

A: The given vector equation is                                   x1  4-2+x285+x3-2   1=00 We have to…

Q: Suppose the row echelon form of a system of equations is x−2y−9z == −10 y+2z == −1 Enter the…

A:

Q: Write each vector as a linear combination of the vectors in S. S = {(2, -1, 3), (5, 0, 4)} (a) z =…

A:

Q: If the vector v = v1 <=2 2 of v₁ = 05 2 -20 [E] -2 can be written as a linear combination -12 v=a1…

A: Substitute the vectors and then go ahead

Q: Find the vector form of the equation of the line that passes through the points (1,-3,2) and…

A:

Q: the given vector. 4. Ay 4- 2- -4 -2 2. 4 2- +4- X4 6 6. 6

A:

Q: Determine if the vectors are linearly independent. - 4 V1 V2 = - 2 4 Select the correct choice below…

A: Two vectors are linearly independent if they are not scalar multiple of each other.

Q: Which of the following sets of vectors are linearly independent? a){[-6,4]} b){[0,0], [-9,2]}…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Consider c1, c2 are constants such that z=c1s1+c2s2. Substitute the values of z, s1, s2 in the…

Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4x3 = 0 5x1 + 8x2…

A:

Q: 5 2 2 Write as a linear combination of the vectors 2 2 2 2. 2.

A: Here we have to write (5,2,-2) as a linear combination of the vectors (2,-1,-1),(2,0,-1) and…

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: Find the unknown entries in the vector equation. 4 4 + 3 a 7 a = b =

A:

Q: Write a system of equations that is equivalent to the given vector equation. 3 3 X1 -5 - 4 6. - 7 8…

A: A vector equation is an equation involving a linear combination of vectors with possibly unknown…

Q: Which vector is not a linear combination of x, y and z? 1 X = 1 y =| 0 z = 1 -2 3 -1 1 -3 -1 3.

A: To check  the given question the set of vectors is linear combination we proceed as follows

Q: Write a system of equations that is equivalent to the given vector equation. Choose the correct…

A:

Q: For which vectors (b₁,b2, b3) do these systems have a solution? X1 b₁ 1 1 1 X1 HO-N-HD-B b2 and 0 1…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Find all solutions, if any, to the given system of equations. Express your answer in vector form. +…

A:

Q: Which of the following vectors have the same address? A=(1,-3,2), b=(2,0,1), c=(-2,6,-4),…

A: Two vectors a and b are said to have same address if b can be written as some positive multiple of…

Q: (a) Find symmetric equations for the line that passes through the point (4, -4, 8) and is parallel…

A:

Q: In Exercises 9 and 10, write a vector equation that is equivalent to the given system of equations.

A: Given system of equations, 4x1+x2+3x3=9x1-7x2-2x3=28x1+6x2-5x3=15

Q: Eind the equations of the line that passes through point A(0, 1, 2) and is parallel to the vector 7…

A:

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

A:

Q: For each system of equations, determine if there is an intersection and classify it (point, line, or…

A:

Q: What values for x and y are needed in the linear combination below to make the equation correct? 3.…

A: