Fill This Form To Receive Instant Help

Help in Homework
trustpilot ratings
google ratings


Homework answers / question archive / Question 1) Give the order of the following matrix; if A = [aij], identify a32 and a23

Question 1) Give the order of the following matrix; if A = [aij], identify a32 and a23

Math

Question 1)

Give the order of the following matrix; if A = [aij], identify a32 and a23.

 

1
 
0
 
-2

-5
 
7

  1/2


 
-6

  11

e
 
-∏

  -1/5

 

 

 

Question 2

 

Use Gaussian elimination to find the complete solution to each system.

 

x - 3y + z = 1
-2x + y + 3z = -7
x - 4y + 2z = 0

 

 

Question 3

 

If AB = -BA, then A and B are said to be anticommutative.

Are A =

 

0

1

  -1

0

 

and B =

 

1

0

0

  -1

 

anticommutative?

 

 

Question 4

 

Solve the system using the inverse that is given for the coefficient matrix.

 

2x + 6y + 6z = 8
2x + 7y + 6z =10
2x + 7y + 7z = 9


The inverse of:

 

2

2

2

  6

7

7

  6

6

7

 


is

 

7/2

-1

0

  0

1

-1

  -3

0

1

 

 

 

Question 5

 

Use Cramer’s Rule to solve the following system.
 

 

x + y = 7
x - y = 3

 

 

Question 6

 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.

 

x + 3y = 0
x + y + z = 1
3x - y - z = 11

 

 

Question 7

 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.

 

x + y - z = -2
2x - y + z = 5
-x + 2y + 2z = 1

 

 

Question 8

 

Use Cramer’s Rule to solve the following system.
 

 

x + 2y = 3
3x - 4y = 4

 

 

Question 9

 

Use Cramer’s Rule to solve the following system.

 

2x = 3y + 2
5x = 51 - 4y

 

 

Question 10

 

Use Cramer’s Rule to solve the following system.

 

3x - 4y = 4
2x + 2y = 12

 

 

Question 11

 

Use Cramer’s Rule to solve the following system.

 

4x - 5y - 6z = -1
x - 2y - 5z = -12
2x - y = 7

 

 

Question 12

 

Find the products AB and BA to determine whether B is the multiplicative inverse of A.

A =

 

0

0

1

1

0

  0

0

1

  0

 

 

B =

 

0

1

0

0

0

  1

1

0

  0

 

 

 

Question 13

 

Use Cramer’s Rule to solve the following system.

 

x + y + z = 0
2x - y + z = -1
-x + 3y - z = -8

 

 

Question 14

 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.

 

x + y + z = 4
x - y - z = 0
x - y + z = 2

 

 

Question 15

 

Use Gauss-Jordan elimination to solve the system.

 

-x - y - z = 1
4x + 5y = 0
y - 3z = 0

 

 

Question 16

 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.

 

3x + 4y + 2z = 3
4x - 2y - 8z = -4
x + y - z = 3

 

 

Question 17

 

Use Gaussian elimination to find the complete solution to each system.

 

x1 + 4x2 + 3x3 - 6x4 = 5
x1 + 3x2 + x3 - 4x4 = 3
2x1 + 8x2 + 7x3 - 5x4 = 11
2x1 + 5x2 - 6x4 = 4

 

 

Question 18

 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.

 

w - 2x - y - 3z = -9
w + x - y = 0
3w + 4x + z = 6
2x - 2y + z = 3

 

 

Question 19

 

Use Cramer’s Rule to solve the following system.

 

x + 2y + 2z = 5
2x + 4y + 7z = 19
-2x - 5y - 2z = 8

 

 

Question 20

 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.

 

2x - y - z = 4
x + y - 5z = -4
x - 2y = 4

 

 

 

Question 21

 

Find the vertices and locate the foci of each hyperbola with the given equation.

y2/4 - x2/1 = 1

 

Question 22

 

Locate the foci of the ellipse of the following equation.

x2/16 + y2/4 = 1

 

Question 23

 

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Center: (4, -2)
Focus: (7, -2)
Vertex: (6, -2)

 

Question 24

Locate the foci and find the equations of the asymptotes.
 
x2/100 - y2/64 = 1

 

Question 25

 

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Endpoints of transverse axis: (0, -6), (0, 6)
Asymptote: y = 2x

 

Question 26

 

Locate the foci of the ellipse of the following equation.

25x2 + 4y2 = 100

 

Question 27

 

Find the standard form of the equation of the following ellipse satisfying the given conditions.

Foci: (0, -4), (0, 4)
Vertices: (0, -7), (0, 7)

 

Question 28

Find the standard form of the equation of the ellipse satisfying the given conditions.

Endpoints of major axis: (7, 9) and (7, 3)
Endpoints of minor axis: (5, 6) and (9, 6)

 

Question 29

 

Find the vertex, focus, and directrix of each parabola with the given equation.

(y + 3)2 = 12(x + 1)

 

Question 30

 

Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.

y2 - 2y + 12x - 35 = 0

 

Question 31

 

Convert each equation to standard form by completing the square on x and y.

4x2 + y2 + 16x - 6y - 39 = 0

 

Question 32

 

Locate the foci and find the equations of the asymptotes.
 
4y2 – x2 = 1

 

Question 33

 

Convert each equation to standard form by completing the square on x and y.

9x2 + 16y2 - 18x + 64y - 71 = 0

 

Question 34

 

Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.

x2 - 2x - 4y + 9 = 0

 

Question 35

 

Find the vertex, focus, and directrix of each parabola with the given equation.

(y + 1)2 = -8x

 

Question 36

Find the focus and directrix of the parabola with the given equation.

8x2 + 4y = 0

 

Question 37

 

Convert each equation to standard form by completing the square on x and y.

9x2 + 25y2 - 36x + 50y - 164 = 0

 

Question 38

 

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Foci: (-4, 0), (4, 0)
Vertices: (-3, 0), (3, 0)

 

Question 39

Find the focus and directrix of each parabola with the given equation.

x2 = -4y

 

Question 40

 

Locate the foci and find the equations of the asymptotes.
 
x2/9 - y2/25 = 1

 

 

Option 1

Low Cost Option
Download this past answer in few clicks

8.83 USD

PURCHASE SOLUTION

Already member?


Option 2

Custom new solution created by our subject matter experts

GET A QUOTE