To find the trivial solution of the homogeneous linear equation, we need to solve the equation when all the variables are equal to zero.

Let's consider the equation in question: (1,0,0) (0,0,1) (0,0,0).

Step 1: Set all the variables to zero: (0,0,0) (0,0,0) (0,0,0).

Step 2: Substitute these values into the equation: (0,0,0) = (0,0,0).

Step 3: Simplify the equation: (0,0,0) = (0,0,0).

Step 4: Since both sides of the equation are equal, we can conclude that the trivial solution of the homogeneous linear equation is (0,0,0).

Question

To find the trivial solution of the homogeneous linear equation, we need to solve the equation when all the variables are equal to zero.

Let's consider the equation in question: (1,0,0) (0,0,1) (0,0,0).

Step 1: Set all the variables to zero: (0,0,0) (0,0,0) (0,0,0).

Step 2: Substitute these values into the equation: (0,0,0) = (0,0,0).

Step 3: Simplify the equation: (0,0,0) = (0,0,0).

Step 4: Since both sides of the equation are equal, we can conclude that the trivial solution of the homogeneous linear equation is (0,0,0).

Knowee AI · Accepted Answer

To find the trivial solution of the homogeneous linear equation, we need to solve the equation when all the variables are equal to zero.

Let's consider the equation in question: (1,0,0) (0,0,1) (0,0,0).

Step 1: Set all the variables to zero: (0,0,0) (0,0,0) (0,0,0).

Step 2: Substitute these values into the equation: (0,0,0) = (0,0,0).

Step 3: Simplify the equation: (0,0,0) = (0,0,0).

Step 4: Since both sides of the equation are equal, we can conclude that the trivial solution of the homogeneous linear equation is (0,0,0).

he trivial solution of the homogenous linear equation is: (1,0,0) (0,0,1)(0,0,0)