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Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+8y = -21 4x + 8y = - 12 ... The inverse of matrix A, A , is. (Type an integer or simplified fraction for each matrix element.) The solution of the system is . (Type an ordered pair.)

Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+8y = -21 4x + 8y = - 12 ... The inverse of matrix A, A , is. (Type an integer or simplified fraction for each matrix element.) The solution of the system is . (Type an ordered pair.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.3: Inverses Of Matrices And Matrix Equations
Problem 2E: (a) Write the following system as a matrix equation AX=B . (b) The inverse of A is (c) The solution...
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Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+ 8y = -21 4x + 8y = - 12 %3D The inverse of matrix A, A1, is (Type an integer or simplified fraction for each matrix element.) The solution of the system is - (Type an ordered pair.)
Transcribed Image Text:Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+ 8y = -21 4x + 8y = - 12 %3D The inverse of matrix A, A1, is (Type an integer or simplified fraction for each matrix element.) The solution of the system is - (Type an ordered pair.)
Expert Solution
Step 1

Let us consider a system of equation is matrix form given as,

AX=B 

Then solution of this system is given by,

X= A-1B, where A-1 is the inverse of the matrix A.

 

 

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