1 Using matrix method, solve the following system of equations : 2/x + 3/y + 10/z = 4, 4/x - Maths - Matrices

Question

1 Using matrix method, solve the following system of equations
:
2/x + 3/y + 10/z = 4, 4/x - 6/y + 5/z = 1, 6/x + 9/y - 20/z =
2
2 For what value of x, the matrix [5-x x+1
2 4 ] is singular?

Ankush Jain · Accepted Answer

1 Let

Then the given system of equations is as follows:

This system can be written in the form of AX= B, where

A Thus, A is non-singular Therefore, its inverse exists Now, A11 = 75, A12 = 110, A13 = 72 A21 = 150, A22 = âˆ’100, A23 = 0 A31 = 75, A32 = 30, A33 = âˆ’ 24

2 We know that a square matrix is singular if |A| = 0 $\Rightarrow | \begin{matrix} 5 - x & x + 1 \\ 2 & 4 \end{matrix} | = 0 \Rightarrow 4 (5 - x) - (x + 1) \times 2 = 0 \Rightarrow 20 - 4 x - 2 x - 2 = 0 \Rightarrow - 6 x = - 18 \Rightarrow x = 3$

1. Using matrix method, solve the following system of equations : 2/x + 3/y + 10/z = 4, 4/x - 6/y + 5/z = 1, 6/x + 9/y - 20/z = 2 2. For what value of x, the matrix [5-x x+1 2 4 ] is singular?

1. Using matrix method, solve the following system of equations :

2/x + 3/y + 10/z = 4, 4/x - 6/y + 5/z = 1, 6/x + 9/y - 20/z = 2

2. For what value of x, the matrix [5-x x+1

2 4 ] is singular?