(€)Writing solutions to 3x3 systems of linear equations from...Two augmented matrices for two linear systems in the variables X, y, and z are given below.The augmented matrices are in reduced row-echelon form.For each system, choose the best description of its solution.If applicable, give the solution.O The system has no solution.(a)1 -2 0 4O The system has a unique solution.110- (2*)O The system has infinitely many solutions.9 1 I 0 0一0 0 0(11*) = (2(*) OO The system has no solution.0 0 I一O The system has a unique solution.11)-(-*)O The system has infinitely many solutions.(x, y,(01*)%-(**) o(x, y,ExplanationCheck

Answered: Image /qna-images/answer/9635cf6e-9d0a-4177-aad1-cd585a48c4df.jpg

Answered: (a) The system ha 1 -2 0 O The system…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.3: M X N Matrices

Problem 47PS

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Similar questions

Compare solving the linear system below to solving it using its associated augmented matrix. 2x+yz=34x2y+2z=26x+5y+4z=10
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Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers, with twice as many roses as the number of irises and lilies combined. (a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system. (b) Solve your system of linear equations using an inverse matrix. Find the number of flowers of each type that the florist can use to create the 10 centerpieces.
One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a system of linear equations to determine how many liters of each solution are required to obtain the desired mixture. Solve the system using matrices.
(a) Write the following system as a matrix equation AX=B . (b) The inverse of A is (c) The solution of the matrix equation is X=A1B . (d) The solution of the system is x = ____, y = ____.
CAPSTONE The dimension of the row space of a 35 matrix A is 2. a What is the dimension of the column space of A? b What is the rank of A? c What is the nullity of A? d What is the dimension of the solution space of the homogeneous system Ax=0?
Solve the system of equations using a matrix: {3x+y+z=4x+2y2z=12xyz=1 .
aExplain how Gaussian elimination works. bUse Gaussian elimination to put the following system in triangular form, and then solve the system. System Triangular form {x+y2z=3x+2y+z=53xy+5z=1

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(a) The system ha 1 -2 0 O The system ha 0 116 (x, y, 2) = ([ 0 0 0 0 O The system ha