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Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. x - 2y + 3z 0 y- z+ W = -8 - 2x + 2y - 2z+ 4w = 10 2y3z + W = -1 Using the variables and values in the system of equations, what is the matrix equation solved for the matrix of the variables? O A. O B. U -|N -IN NI → N|→ -1 4 1 1 1 2 NIG 5 دام 2 2 دان 1 1 4 2 - IN 2 -2 NI N/W C Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution of the system is (...). (Simplify your answers.) OB. There are infinitely many solutions. The solutions are x = (Use integers or fractions for any numbers in the expression.) y= U and z= where w is any real number. 1 1 1 2 4 -|2 -1 4 - IN 5|2 -N -IN داد -14 ヤーレ N|→ N 1 1 1 N/W NI→ f NI→ -1 4 1 NÍ → 2 1 FIN -14 -|N -IN 2 - 10 12 IN -14 1 ➤|→ N NIW BIN -IN 1

Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. x - 2y + 3z 0 y- z+ W = -8 - 2x + 2y - 2z+ 4w = 10 2y3z + W = -1 Using the variables and values in the system of equations, what is the matrix equation solved for the matrix of the variables? O A. O B. U -|N -IN NI → N|→ -1 4 1 1 1 2 NIG 5 دام 2 2 دان 1 1 4 2 - IN 2 -2 NI N/W C Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution of the system is (...). (Simplify your answers.) OB. There are infinitely many solutions. The solutions are x = (Use integers or fractions for any numbers in the expression.) y= U and z= where w is any real number. 1 1 1 2 4 -|2 -1 4 - IN 5|2 -N -IN داد -14 ヤーレ N|→ N 1 1 1 N/W NI→ f NI→ -1 4 1 NÍ → 2 1 FIN -14 -|N -IN 2 - 10 12 IN -14 1 ➤|→ N NIW BIN -IN 1

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. x - 2y + 3z y - Z + W = -8 - 2x + 2y - 2z + 4w = 10 2y - 3z + W = -1 Using the variables and values in the system of equations, what is the matrix equation solved for the matrix of the variables? B. A. II -|2 1 1 1 1 2 4 2 - 1 4 1 2 -|N 1 2 = 0 -|~ 1 2 - 52 ~ | + 1 -|2 1 4 -|+ - 2 3 2 1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The solution of the system is (,,,). (Simplify your answers.) B. There are infinitely many solutions. The solutions are x = (Use integers or fractions for any numbers in the expression.) y = and z = = where w is any real number. -|N 1 1 1 1 2 2 4 - 1 1 FINFIN 2 1 2 - 4 -!+ N|G N|→ -|N 1 2 -|N - 14 - 2 5 1 3 N|W 2 1 1 4 2 A-1 = N|→ 2 NI- NI- -|N - 1 - 1 4 2 512 1 -|~ A|→ 1 2 1 4 -|+ 1 2 4 |N 2 2 1 1 I 32 -|2
Transcribed Image Text:Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. x - 2y + 3z y - Z + W = -8 - 2x + 2y - 2z + 4w = 10 2y - 3z + W = -1 Using the variables and values in the system of equations, what is the matrix equation solved for the matrix of the variables? B. A. II -|2 1 1 1 1 2 4 2 - 1 4 1 2 -|N 1 2 = 0 -|~ 1 2 - 52 ~ | + 1 -|2 1 4 -|+ - 2 3 2 1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The solution of the system is (,,,). (Simplify your answers.) B. There are infinitely many solutions. The solutions are x = (Use integers or fractions for any numbers in the expression.) y = and z = = where w is any real number. -|N 1 1 1 1 2 2 4 - 1 1 FINFIN 2 1 2 - 4 -!+ N|G N|→ -|N 1 2 -|N - 14 - 2 5 1 3 N|W 2 1 1 4 2 A-1 = N|→ 2 NI- NI- -|N - 1 - 1 4 2 512 1 -|~ A|→ 1 2 1 4 -|+ 1 2 4 |N 2 2 1 1 I 32 -|2
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