﻿ For what value of k do the following homogeneous system of equations possess a non-trivial solution ?                                   : Kaysons Education

# For What Value Of k do The Following Homogeneous System Of Equations Possess A Non-trivial solution ?

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## Question

### Solution

Correct option is

For non-trivial solutions,    D = 0

:

Evaluating by 1st column, we get,

.

#### SIMILAR QUESTIONS

Q1

If a determinate of  is formed by using the number 1 or –1 then minimum value of determinant is :

Q2

A and B are square matrices and A is non-singular matrix,  :

Q3

is :

Q4

The value of  such that the system x – 2y + z = –4, 2x – y + 2z = 2,  has no solution is :

Q5

The homogeneous system of equation :

has non-trivial solutions if :

Q6

:

Q7

then the number of solutions of the system of equations

Q10

Find value of  for which the set of equations

are consistent.