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Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x + 4y-z = -4 2x-8y +z = -6 - 2x + 4y- 5z = -3

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x + 4y-z = -4 2x-8y +z = -6 - 2x + 4y- 5z = -3

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 18WE
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Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+4y-z = -4 = -6 2x-8y +z - 2x+4y- 5z = - 3 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. ⒸA. The solution is (0) (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x,y.z) |x= (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent. y= z is any real number}. y is any real number, z is any real number}
Transcribed Image Text:Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+4y-z = -4 = -6 2x-8y +z - 2x+4y- 5z = - 3 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. ⒸA. The solution is (0) (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x,y.z) |x= (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent. y= z is any real number}. y is any real number, z is any real number}
Find the inverse of the given nonsingular matrix. - 1 1 0-2 1 -3 -4 0 The inverse of the matrix 1 1 1 0-2 1 is -3 -4 0 (Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Find the inverse of the given nonsingular matrix. - 1 1 0-2 1 -3 -4 0 The inverse of the matrix 1 1 1 0-2 1 is -3 -4 0 (Type an integer or simplified fraction for each matrix element.)
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