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1. Suppose A = (3,3,6) is a linear system of three equations in three variables whose full solution set is = (-3 2s + t, s, t), where s, t e R. Find, with explanation, the coefficient matrix A.

1. Suppose A = (3,3,6) is a linear system of three equations in three variables whose full solution set is = (-3 2s + t, s, t), where s, t e R. Find, with explanation, the coefficient matrix A.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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I would like some help with question 1. Im not really sure where to start

எgா் 11/le/content/88272/viewContent/669499/... Q Tp MATH 211 Homework #2 (due Thursday, 15 October 2020 at 7pm) 1. Suppose A = (3, 3, 6) is a linear system of three equations in three variables whose full solution set is = (-3 2s + t, s, t), where s, t E R. Find, with explanation, the coefficient matrix A. 2. Let I be the 3 x 3 identity matrix and J be the 3 x 3 matrix with every entry equal to 1. Let S be the set of all linear combinations of I and J. (a) Show that S is the set of all 3 x 3 matrices which are constant on the diagonal and constant off the diagonal. (b) Prove that the product of any two matrices in S is also in S. 1 1 3. Let F 1 0. a) Compute F², F³, Fª and F5. 1 V jengum. 1,040 TITTE LIT.74 tor.57 Live 100% A e here to search
Transcribed Image Text:எgா் 11/le/content/88272/viewContent/669499/... Q Tp MATH 211 Homework #2 (due Thursday, 15 October 2020 at 7pm) 1. Suppose A = (3, 3, 6) is a linear system of three equations in three variables whose full solution set is = (-3 2s + t, s, t), where s, t E R. Find, with explanation, the coefficient matrix A. 2. Let I be the 3 x 3 identity matrix and J be the 3 x 3 matrix with every entry equal to 1. Let S be the set of all linear combinations of I and J. (a) Show that S is the set of all 3 x 3 matrices which are constant on the diagonal and constant off the diagonal. (b) Prove that the product of any two matrices in S is also in S. 1 1 3. Let F 1 0. a) Compute F², F³, Fª and F5. 1 V jengum. 1,040 TITTE LIT.74 tor.57 Live 100% A e here to search
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