a) Show that the system of simultaneous linear equation in

Chapter 2, Problem 24E

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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.

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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.

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