Can someone please explain to me question 11 pls? ASAP??!!! Find the general solutions of the systems whose augmented ma-trices are given in Exercises 7-14.7.9.C11.1 3 43970 1-27}]6-9-6-657 -43 -4 212 -68 -40O008.10.12.402 7 0[3-2 -13 -6 -210-11132-7 0 6 50 1 -2 -37 -427

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Answered: Find the general solutions of the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3CEXP

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THEOREM 1.18 Structure of the Solution Set of Ax = b Let Ax = b be a linear system. If p is any particular solution of Ax = b and h is a solution of the corresponding homogeneous system Ax = 0, then p + h is a solution of Ax = b. Moreover, every solution of Ax = b has this form p + h, so that the general solution is x = p + h where Ah = 0.
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Find the standard form of the quadratic function shown below: 8 7 6 + 5 + 4 + 3 + 2 + 1+ + + + + + + 1 2 + + + 6 7 -8 -7 -6 -5 4 -3 -2 -1 -1- 3 5 8 -3+ -4+ -5 -6+ -7+ -8 O f«)= x- 2P+ 3 O fx)= (x+2)?- 3 O f(«)=x- 1)²+ 3 F6) ={ (x= 2)P+ 3 +++ +
1 2 -4 1 0 |_^=[ ¦ ] • -[ - ] --=[ - ] - [ - 2]- ³D -=[ - 12] Let A b₂ b3 and b4 8 18 28 22 a. Find A and use it solve the four equations Ax=b₁, Ax=b₂,Ax=b3, and Ax=b4. b. The four equations in part (a) can be solved by the same set of operations, since the coefficient matrix is the same in each case. Solve the four equations in part (a) by row reducing the augmented matrix [A b₁ b₂ b3 b4]. a. Find A¹. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. -1 The inverse matrix is A (Type an integer or simplified fraction for each matrix element.) = O B. The matrix is not invertible.

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Find the general solutions of the systems whose augmented ma- trices are given in Exercises 7-14. 1 7. 3 9. C [i 3 4 9 7 7 6 1 -6 5 -2 7 -4 -4 2 0 0 0 3 11. -9 12 -6 -6 8 -4 8. 10. 12. 2 3 -2 -1 -6-2 1 0 4 0 7 0 −1 11 3 2 -7 0 6 5 0 1 -2 -3 7 7-42