234/1000|For what values of λ, the equations : have a solution and solve completely in each case

234/1000|For what values of λ, the equations : have a solution and solve completely in each case
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For what values of λ, the equations x+y+z = 1 x+2y+4z = λ x+4y+10z = λ^2 have a solution and solve completely in each case.
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Query Solved-
In this video, we will talk about Linear Equations that are divided into 2 parts called as Homogeneous System and Non Homogeneous system in that we will talk further about the cases of Consistent system and Inconsistant system of Unique Solution , Infinite solution and No solution in that we will elaborately explain all of these....
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In this Video, we will learn:
00:00 Introduction
00:31 Types of System of Linear Equation
00:41 Homogeneous System of Linear Equation
01:36 What is Coefficient Matrix in System of Linear Equation
02:48 Possibilities of Consistent system in Non-Homogeneous System of Linear equations 03:02 Step 1 Find the rank of Coefficient matrix
08:46 Step 2 to find values of x, y and z variables
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#matrixalgebra
#consistentsystem
#inconsistentsystem
#homogeneoussystem
#nonhomogeneoussystem
#systemoflinearequations
#engineeringmathematics