What values for x and y are needed in the linear combination below to make the equation correct? 3. 2 3 X = 1 y =| 2 The system of equations 2x + y = 1, 3x expressed as the vector equation 4y = 7 can be %3D 1 xu + YU using the vectors u = and v = The same system of equations can be written in a matrix form A = b using the matrix A =

Q: Suppose the row echelon form of a system of equations is x+2y-72 = 4 y-92 = 9 Enter the components…

A: We will use here the free variable t to get the solution of the given row echelon form of a system…

Q: 2. The relationship between the displacement S, velocity v, and acceleration a, of a piston is given…

A: Given: s+2v+2a=43s-3v+4a=253s+2v-a=-4 Rewriting the equation2a+s+2v=44a+3s-3v=25-a+3s+2v=-4

Q: 2. Use the equation 2 3 X1 0 +2 -3 + x3 2 + x4 -9 -7 3 0 2 for the following problems. (a) Write a…

A:

Q: 9. The equation A b is consistent if the augmented matrix has a pivot position in every row. %3D 10.…

A:

Q: Two matrixes are given by: 1 -2 1 -2 3 A = and B= 3 -2 1 -2 4 -6 -3 4 -2 Additionally, consider the…

A: Explanation of the answer is as follows

Q: (a) Find x, y, z and B, where Го 3 A = 1 -3 y 4 4 ; A² = 1 ; c(4+1)+3BT = 2A and I: unit matrix

A: (a) To Find: x, y, z, and B, where A=0x31-3yz44;   A2=I;     cA+I+3BT=2A and I:unit matrix

Q: 2 . B = 6 : J.c = ( 1. and V = |1. What is the sum of the entries of the [1 Let A %3D 4 5 matrix…

A: We want to find sum of entries of given expression

Q: 5. Solve the equations below : 2 x- y+ z = 4 X+ y+z = 3 3x- y- z =1 Hint : The solution of the…

A: AX = B So, X = A-1B

Q: Solve the following system of three linear equations: 3x – 2y + 5z = 7.5 - 4.5 + 2y + 3z = 5.5 5x +…

A:

Q: Let A be the following matrix 6 6 6 05 5 0 0 6 Then for which column vector b, the equation Ar =…

A:

Q: Suppose we are asked to fit a straight line to the following data 1 3 -2 1 2 -1 so that mx + C= y…

A: We solve the first three subparts. Given, We need to fit y = mx + c with the above data.

Q: ^ - [ 3 ] and B = [² = 4 5 If A 4 5 7 6 find 3A-2B+ I where I is a unit matrix.

A:

Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

A: We have to find the product of 5-3-34-382-48.

Q: (1 3 2 3. We revisit the matrix A =|0 1 0 and reconsider b =| 2 |. Find the solution (16) set of the…

A:

Q: 4- Answer the questions considering the linear equations below. x + y + z = 5 x + 2y + 3z = 7 x + 3y…

A: According to our company guidelines, as it is a multipart question, we only solve the first three…

Q: Write the system first as a vector equation and then as a matrix equation. 7x, + X2 - 3x3 = 6 9x2 +…

A:

Q: 1 4 -3 6 Given A and b to the right, write the augmented matrix for the linear system that…

A: A system of equations contains more than one linear equations. It can be represented in the matrix…

Q: 5. Solve the equations below : 2 x- y+ z = 4 x+ y+ z = 3 3x- y- z =1 Hint : The solution of the…

A:

Q: The given vector functions are solutions to the system x'(t) = Ax(t). 5t X1 = e - 3t X2 = 6-…

A:

Q: Given the matrices: [0 1 -3 -11 10 1 A = 3 1 0 1 u and 0 = V X= 1 1-2 0 W a. Use the Gauss…

A:

Q: Consider the linear equations, 2х + 3у 3D 1 10x + 9y = 11 (a) Find the multiple l21and write the…

A:

Q: 1. Let A be the matrix given by 1 A = 1 2 1 0 1 3 Find Cartesian equations for Col(A) and Null(A).…

A:

Q: 4- Answer the questions considering the linear equations below. x + y +z = 5 x + 2y + 3z = 7 x + 3y…

A:

Q: . Solve the equations below : 2х- у+z%3D4 X+ y+ z = 3 3 x- y- z =1 Hint : The solution of the…

A: In terms of matrices matrix notation, the solution of the system a1x+b1y+c1z=d1, a2x+b2y+c2z=d2 ,…

Q: 6 and u = 5 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u.…

A: A vector has 2 components, magnitude and direction which is represented by cos and sin angles. A…

Q: 1 3 -2 2 1 1 -5 Let A = 1 2 -3 7 -2 -8 2 -1 A. Do the columns of A span R4 ? B. Does the equation B…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: Write this system in the form 'AX=B' then answer the following questions: X - 2y - 3z = 3 X +y- z 5…

A:

Q: Bonnie had previously calculated the cross product of two vectors in R , but unfortunately sprayed…

A: For part a: It is required to find the matrix A that represents the given calculation. From the…

Q: -2 1. Given matrix J = [ 3 and matrix P = 8- with c = 2, a = 2 and d = 2/5. Solve for: а. Р-J b. cJ…

A: a) P-J=10-81--263-1=1-(-2)0-6-8-31-(-1)=3-6-112

Q: A=18, B=22 Give a 2x2 matrix that will project any point (x, y) on to the line going through (0, 0)…

A:

Q: 4- Answer the questions considering the linear equations below. x + y+ z = 5 x + 2y + 3z = 7 x + 3y…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: a. Every matrix equation Ax = b corresponds to a vector equation with the same solution set. Choose…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Write the system first as a vector equation and then as a matrix equation. 3x - X2 = 7 9x1 + 10x2 =…

A:

Q: a)Suppose the above equation is expressed as Ax=B with x = (a,b).Express the coeffieints of the…

A:

Q: our work on additional pieces of paper. (1) Consider the system of equations x- 2y + 3z = 9 -x+3y-z…

A: given system of equations x-2y+3z=9-x+3y-z=-62x-5y+5z=17 According to the guidelines I am answering…

Q: -[: :]. »- [:]. - Let A B = and X = Solve the following linear system of equations: AX=B. Let A, B…

A:

Q: First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector…

A:

Q: Complete the coefficient matrix A and the column vector b for the following system of equations. Use…

A:

Q: Q. No. 2): 1 4 Let 0 3 1 be the augmented matrix. Denote the columns of A by v, and y, .and -2 6 h-8…

A: 1. Consider A=1003-26, B=41h-8 and given h=58 Now A:B=1003-2641h-8=1003-264158-8=1003-264150 Rank of…

Q: Use the following simultaneous equations to answer questions 8 and 9: -X1 + 2X2 + 4Хз %3D -3 4X1 –…

A:

Q: (i) By applying the Kirchhoff's law to a circuit we obtain following equations 7i, + 9iz = 3 5i, +…

A:

Q: +3x +11y -3z 2w +x +7y -5z lw +lx +5y +1z a. Write the augmented matrix corresponding to this system…

A:

Q: Two matrices are given by: 1 -2 1 1 1 1 -2 3 A and B= 3 -2 1 -2 4 -6 -3 4 -2 Additionally, consider…

A:

Q: Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in…

A:

Q: rst write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector…

A:

Q: Given the matrices: [0 1 -3 -11 10 1 A = 1 u and 0 = V 3 1 0 2 1 1 -2 0 W a. Use the Gauss…

A:

Q: The set of non-zero vectors {b, b2, b,, b4} are vectors in R* with the property that 4b, + 2b, = 6b,…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Determine if b is a linear combination of the vectors formed from the columns of the matrix A. - 4 -…

A: A=1-4-40464-1615 , b=12-76Let A= a1a2a3and x1a1+x2a2+x3a3=bTher augmented matrix…

Q: -4 -1 1 6 3 -7 -3 -5 -6 1. Let B = 3 . If B represents a matrix A augmented with a vector b , write…

A: 1. B=-4-11632-7-3-5-63154295-1-2710vector equation is Ax=b-4-1162-7-3-5315425-1-27x1x2x3x4=3-6910