The row echelon form of the matrix is presented as follows;
<h3>What is the row echelon form of a matrix?</h3>
The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.
The given matrix is presented as follows;
The conditions of a matrix in the row echelon form are as follows;
- There are row having nonzero entries above the zero rows.
- The first nonzero entry in a nonzero row is a one.
- The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.
Dividing Row 1 by -3 gives:
Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;
Subtracting Row 1 from Row 3 gives;
Adding Row 2 to Row 3 gives;
Dividing Row 2 by -2, and Row 3 by 18 gives;
The above matrix is in the row echelon form
Learn more about the row echelon form here:
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Answer:
Option 1
Step-by-step explanation:
Rational numbers do not have infinite decimals.
Option 1:
-5, 3/4 and √49 are all rational. Correct
√49 = 7
3/4 = 0.75
-5 = -5
Option 2:
1/4 = 0.25
5 = 5
√12 = 3.4641...
Incorrect
Option 3:
-1/2 = -0.5
-3 = -3
√8 = 2.82841...
Incorrect
Option 4:
1/7 = 0.142857...
9 = 9
√11 = 3.31662...
Incorrect
Answer:
x = 30 ∠A = 132 degrees
Step-by-step explanation:
Set the equations equal to each other to solve for x
5x - 18 = 3x + 42
-3x - 3x Subtract 3x from both sides
2x - 18 = 42
+ 18 + 18 Add 18 to both sides
2x = 60 Divide both sides by 2
x = 30
Now plug this into the equation for angle A
∠A = 5(30) − 18 Multiply
∠A = 150 - 18 Subtract
∠A = 132 degrees
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Answer: Option D
Step-by-step explanation:
The equation of a line in the form of "slope-interception" has the following form:
Where m is the slope of the line and b is the interception of the line with the y axis.
In this case we know that the line has a slope of -2. Then 
.
We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:
.
Finally the equation of the line will be:
If we add 2x on both sides of the equation we get:
The answer is the option D
Answer:
its b
Step-by-step explanation:
(9,-2)
