(a) Write the following system as a matrix equation AX = B. System Matrix Equation A B 5x + 3y = -1 3x + 2y = 0 (b) The inverse of A is the following. A-1 (c) The solution of the matrix equation is X = A-1B. X = A-1 (d) The solution of the system is (x, y) =
(a) Write the following system as a matrix equation AX = B. System Matrix Equation A B 5x + 3y = -1 3x + 2y = 0 (b) The inverse of A is the following. A-1 (c) The solution of the matrix equation is X = A-1B. X = A-1 (d) The solution of the system is (x, y) =
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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(a) Write the following system as a matrix equation
AX = B.
System | Matrix Equation | ||||||||||||||||||||||||||||||||||||||||||||||||
|
|
(b) The inverse of A is the following.
A−1
|
= |
|
(c) The solution of the matrix equation is
X = A−1B.
X | = |
A−1
|
B | ||||||||||||||||||||||||||||||||||||||
|
= |
|
|
= |
|
(d) The solution of the system is
(x, y) =
.
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