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Given, 2x - y + 2z = 2, x - 2y + z = -4,...

Given, `2x - y + 2z = 2, x - 2y + z = -4, x + y+ lamda z = 4`,then the value of `lambda` such that the given system of equations has no solution, is

A

3

B

1

C

0

D

-3

Text Solution

AI Generated Solution

To find the value of \( \lambda \) such that the given system of equations has no solution, we will analyze the equations and set up a determinant. The given equations are: 1. \( 2x - y + 2z = 2 \) 2. \( x - 2y + z = -4 \) 3. \( x + y + \lambda z = 4 \) ### Step 1: Write the system in matrix form ...
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