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# The Homogeneous System Of Equation :  has Non-trivial Solutions If :

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## Question

### Solution

Correct option is

For any abcd

Let A =

Hence AX = 0 is the given homogeneous equation.

For non-trivial solutions,

Hence, lets find the determinant of A

Hence |A| = 0 for any abcd.

Non-trivial solutions exist for any value of abcd.

#### SIMILAR QUESTIONS

Q1

represent the sides of a triangleABC, then  is equal to :

Q2

:

Q3

If abc are the sides of a ΔABC opposite to angle ABC respectively, then

:

Q4

The value of  lying between  and satisfying the equation

:

Q5

.

has a non-zero solution, then value of

Q6

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

Q7

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

Q8

is :

Q9

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

Q10

: