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:
The missing number on the given data set is 12.
Step-by-step explanation:
Here, the set of data = 18,16_,9,12,23
Let us assume the missing number in the data = m
The mean of the data = 15
Total number of observations = 6
Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m
Also,
or, m = 12
Hence, the missing number on the given data set is 12.
For 5 movie tickets it’s $45 and for 11 it’s $99
Answer:
25.5 and 37.5
Step-by-step explanation:
x+y=63
x-y = 12 then x = 12 + y sub this into the first equation
(12+y) + y = 63
12 + 2y = 63
2y = 51
y = 25.5 then x = 37.5
Answer:
Step-by-step explanation:
<u>Given functions:</u>
- f (x) = 2x + 2
- g (x) = 3x – 1
<u>To find:</u>
<u>Solution</u>
- (f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
- (f/g)(2) = (2*2 + 2) / (3*2 - 1) = 6/5 = 1.2