How to find a value of ex2
1 answer:
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Answer:
S is closest to B.
Step-by-step explanation:
Given a directed line segment from point A to B.
Point P divides the line A to B in a ratio 3:4.
Point Q divides the line A to B in a ratio 4:3.
Point R divides the line A to B in a ratio 2:5.
Point S divides the line A to B in a ratio 5:2.
To find:
The point which is closest to the point B.
Solution:
Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.
We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.
Let the distance between A and B be 7 units.
Now, the distances can be found easily.
The point which has the minimum distance from point B, will be nearest to B.
We can clearly observe that SB is the minimum distance.
Therefore, <em>S is closest to B</em>.
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:
- Switch any two rows
- Multiply a row by a nonzero constant
- Add one row to another
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.