Form an augmented matrix for the linear system of equations. = -3x + 18 O Sy=- [x = 7 3 1 18 [1 0:7 [3 1 -18] [7 0:1 -3 180 1 -7-1] 18 1: 7 3:0] 3 0 18 [1 1:7

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2…

A: The given…

Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

A:

Q: Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the…

A: AA-1= A-1A = I; where 'I' is the identity matrix.

Q: Use the inverse of a matri:

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

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Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Зх — Зу — 6z %3D -3 2х — 2у — 4z 3D 10 2х + Зу + z % 7

A:

Q: Re-order the equations, so that the coefficient matrix is diagonally dominant.

A: Writing Co-efficient matrix of given system of equations: [0 1 0 4 -2] [1 0 3 -1 0] [4 0 1 0 1] [2…

Q: x-7 y = 4 3. X-9y-4

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Q: 6х — 4у — 7z %3 -8x + 8y – 1z = 8х — 5у — 92 - 7 -

A:

Q: -1 – 7 -3 (a) Let A = 15 6 Find the second column of A-1 without com- 1 3 puting the other columns.

A: Given,A=-1-7-32156132

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: Solve for the 2 x 2 matrix X: X + 2 23 5 3 X.

A: Introduction: A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for…

Q: Perform the matrix operations.

A:

Q: determine of matrix 4u -1 -1 2v

A: d is correct option

Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: -use an inverse matrix to solve the given system of equations. X2 +x, =1 -x, +x,+2x, +x, =-5 x3 -x,…

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Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Let the matrix be abcdefghi Therefore abcdefghix1x2x3 =…

Q: Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1…

A: Given query is to find the product of the matrix.

Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix

Q: Find the matrix of the quadratic form. Assume x is in R³. 2x+3x2-9x²3 - 10x₁x2 + 18x₁×3 - 12×2×3 a.

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Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

A: