What is the coordinate matrix that describes the following quadrilateral ABCD? O6 -1 -1 5이야기7 5 2 4O5 -1 -1 576 4 1 3O[5 1 1 5]4 1 3-1 -14 1 -3요

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Answered: O 6 -1 -1 5 이야기 7 5 2 4 O 5 -1 -1 57 6…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Describe the solution set, x= x₂, of x₁ + 4x2 - 7x3 = -6 in parametric vector form. Select the correct choice X3 below and fill in the answer boxes within your choice. (Type an integer or fraction for each matrix element.) O A. X= OB. X= +X3 O C. x= +x₂ O D. X=X₂ +X3 +X3
2) The diameter of a sphere has endpoints given by points P = (2,0,0) and Q = (0,6,0). What is the equation of the sphere in standard form?
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. Describe the solution set, x = O 4x₁ +4x2 + 8x3 = 16 - 8x₁ - 8x2-16x3 = - 32 - 3x2-3x3 = 15 , of the first system of equations in parametric vector form. Select the correct choice X2 X3 below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O O A. X= B. X=X₂ C. X= D. X=X₂ + X3 X1 + X3 4x₁ + 4x2 + 8x3 = 0 - 8x₁ - 8x₂ - 16x3 = 0 - 3x2-3x3 = 0
Please only answer the equation part. I already answered the other part
25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the origin? For a 2x4 matrix can the nullspace, the column space and row space all be a plane through the origin?
Which of these planes pass through the origin? Зх — 5у + 2z 30 5х — 3 3D 0 4х + у %3D 0 -4x – 5y + z = 2 8x + 7y = 2z бх — 5у %3D 1
Write down the 4 by 4 matrix S that scales by a constant c. Multiply ST and also TS, where T is translation by (1, 4, 3). To blow up the picture around the center point (1, 4, 3), would you use vST or vT S?
Describe the solution set, x = X2, of x₁ +4x₂ - 7x3 = -6 in parametric vector form. Select the correct choice X3 below and fill in the answer boxes within your choice. (Type an integer or fraction for each matrix element.) O A. x= OB. X= O C. x= O D. X=X₂ + +X3 +x₂ +X3 +X3
If we rotate (x, y) 180° counterclockwise, what point do we get? First find the point without using matrices and then check using matrices.
Find the center and radius of the sphere: 3x² + 3y² + 3z² - 6x - 12y + 18z + 150 O - Center (1, 2, 3); Radius = 3 Center (1, 2, 3); Radius = 1 - - O Center (-1, - 2, 3); Radius = 1 O Center (-1, - 2, 3); Radius = √3 O none of these

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O 6 -1 -1 5 이야기 7 5 2 4 O 5 -1 -1 57 6 4 1 3 O [5 1 1 5] 4 1 3 -1 -1 4 1 -3 요