Answer: The answer is 260°.
Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.
Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.
So, angle of symmetry for the polygon is
Number of sides from car 6 to car 19 = 19 - 6 = 13.
Therefore, the angle of rotation that maps car 6 to car 19 is given by
Thus, the required angle of rotation is 260^\circ.
Answer:
The system has infinitely many solutions
Step-by-step explanation:
Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.
An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.
There are three elementary matrix row operations:
To solve the following system
Step 1: Transform the augmented matrix to the reduced row echelon form
This matrix can be transformed by a sequence of elementary row operations
Row Operation 1: add 1 times the 1st row to the 2nd row
Row Operation 2: add -2 times the 1st row to the 3rd row
Row Operation 3: multiply the 2nd row by -1
Row Operation 4: add -9 times the 2nd row to the 3rd row
Row Operation 5: add 3 times the 2nd row to the 1st row
to the matrix
The reduced row echelon form of the augmented matrix is
which corresponds to the system
The system has infinitely many solutions.