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:
40
Step-by-step explanation: If 10 : 15, then 4 times both of those should be an hour. This would be 40 : 60. That is why 40 is the correct answer.
Answer: 48
Step-by-step explanation: if i did the math correct 1/3 times the base (9) times 16 is 48. the formula is 1/3 x Bh
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
