For Exercises 47-50, evaluate the function for the given values of x . (See Example 5) f ( x ) = { − 3 x + 7 for x < − 1 x 2 + 3 for − 1 ≤ x < 4 5 for x ≥ 4 a. f ( 3 ) b. f ( − 2 ) c. f ( − 1 ) d. f ( 4 ) e. f ( 5 )
For Exercises 47-50, evaluate the function for the given values of x . (See Example 5) f ( x ) = { − 3 x + 7 for x < − 1 x 2 + 3 for − 1 ≤ x < 4 5 for x ≥ 4 a. f ( 3 ) b. f ( − 2 ) c. f ( − 1 ) d. f ( 4 ) e. f ( 5 )
Solution Summary: The author calculates the value of the function f(x)= leftl-3x+7
1
-2
4
10
My goal is to put the matrix
5
-1
1
0 into row echelon form using Gaussian elimination.
3
-2
6
9
My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position.
Which of the following operations would be the appropriate elementary row operation to use to get a 0 in
the a21 position?
O (1/5)*R2 --> R2
○ 2R1 + R2 --> R2
○ 5R1+ R2 --> R2
O-5R1 + R2 --> R2
The 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following
-2 4
8
augmented matrix:
4
-3
9
This augmented matrix is then converted to row echelon form. Which of the following matrices is the
appropriate row echelon form for the given augmented matrix?
0
Option 1:
1
11
-2
Option 2:
4
-3 9
Option 3:
10
܂
-2
-4
5
25
1
-2
-4
Option 4:
0 1
5
1 -2
Option 5:
0
0
20
-4
5
○ Option 1 is the appropriate row echelon form.
○ Option 2 is the appropriate row echelon form.
○ Option 3 is the appropriate row echelon form.
○ Option 4 is the appropriate row echelon form.
○ Option 5 is the appropriate row echelon form.
Let matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4.
What results when you compute A+B?
The resulting matrix will have dimensions of 2x4.
○ The resulting matrix will be a single number (scalar).
The resulting matrix will have dimensions of 4x4.
A+B is undefined since matrix A and B do not have the same dimensions.
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