Solution Found!
a) Show that the system of simultaneous linear equation in
Chapter 2, Problem 24E(choose chapter or problem)
a) Show That the system of simultaneous linear equations
in the variables , , . . . , can be expressed as AX = B, where A = [], X is an matrix with the entry in its ith row, and B is an matrix with the entry in its th row.
b) Show that if the matrix A = [] is invertible (as defined in the preamble to Exercise 18), then the solution of the system in part (a) can be found using the equation X = A−1B.
Questions & Answers
QUESTION:
a) Show That the system of simultaneous linear equations
in the variables , , . . . , can be expressed as AX = B, where A = [], X is an matrix with the entry in its ith row, and B is an matrix with the entry in its th row.
b) Show that if the matrix A = [] is invertible (as defined in the preamble to Exercise 18), then the solution of the system in part (a) can be found using the equation X = A−1B.
ANSWER:
Solution:
Step 1
In this problem we need to show that a system of simultaneous linear equations
In variables can be written as. We also need to show that the solution of the system of linear equations can be found using the equation if the matrix is invertible.