EBK INTERMEDIATE ALGEBRA
13th Edition
ISBN: 9780134719023
Author: Johnson
Publisher: YUZU
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Textbook Question
Chapter C, Problem 1ES
a Solve using matrices
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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.
If
-1
"[a446]-[254]
4b
=
-1
, find the values of a and b.
○ There is no solution for a and b.
○ There are infinite solutions for a and b.
O a=3, b=3
O a=1, b=2
O a=2, b=1
O a=2, b=2
Chapter C Solutions
EBK INTERMEDIATE ALGEBRA
Ch. C - Solve using matrices: 5x2y=44,2x+5y=6.Ch. C - Solve using matrices: x2y+3z=4,2xy+z=1,4x+y+z=1.Ch. C - a Solve using matrices
1.
Ch. C - a Solve using matrices
2.
Ch. C - a Solve using matrices
3.
Ch. C - a Solve using matrices
4.
Ch. C - a Solve using matrices 5x3y=2,4x+2y=5Ch. C - a Solve using matrices
6.
Ch. C - a Solve using matrices 2x3y=50,5x+y=40Ch. C - a Solve using matrices
8.
Ch. C - a Solve using matrices
9.
Ch. C - a Solve using matrices 3x+2y+2z=3,x+2yz=5,2x4y+z=0Ch. C - a Solve using matrices p+q+r=1,p2q3r=3,4p+5q+6r=4Ch. C - a Solve using matrices x+2y3z=9,2xy+2z=8,3xy4z=3Ch. C - a Solve using matrices
13.
Ch. C - a Solve using matrices 4a+9b=8,8a+6c=1,6b+6c=1Ch. C - a Solve using matrices 3p+2r=11,q7r=4,p6q=1Ch. C - a Solve using matrices
16.
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- A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forwardSolve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forwardI need help explaining on this examplearrow_forward
- Consider the table of values below. x y 2 64 3 48 4 36 5 27 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forwardsolving for xarrow_forwardConsider the table of values below. x y 2 63 3 70 4 77 5 84 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forward
- There were 426 books sold in one week. The number of biology books sold was 5 times that of the number of psychology books. How many books each were sold?arrow_forwardPopulation decreases 5% each year. Starts with a starting population of 3705. Find that population after 5 years.arrow_forwardsolve using substitution -2x-3y=-15 -3x+9y=12arrow_forward
- Suppose that 7000 is placed in an accout that pays 4% interest. Interest compunds each year. Assume that no withdraws are made. How much would the account have after 1 year? And how much would the account have after 2 years?arrow_forwardUse substitution to solve the equations -2x+5y=18 x=2y-8arrow_forward5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-arrow_forward
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