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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 176598: I need help solving this equation that I've been tryin to solve for a while now. can someone please help?
If you were to use the Gauss-Jordan elimination on the following linear system, what would the augmented matix be?
3w-x=2y+z-4
9x-y+z=10
4w+3y-z=7
12x+17=2y-z+6?
Click here to see answer by Mathtut(3670)  |
Question 177717: Find each product if possible. If not possible, write product undefined.
4. [2 1]
[3 0] [2 4]
[7 4] [1 6]
5. -3 [3 10]
[21 24]
6. [9 15 6]
[-8 2 7] [2 4 0]
[63 -8 1] [-5 0 8]
7. [3 2] [0 1]
[0 0] [4 0]
Click here to see answer by Mathtut(3670) |
Question 177719: 8. (traingle)ABC has coordinates (1, 1), (3, 4), and (0, -5). Write the vertices in
matrix form.
a. Find the coordinates of the image of the triangle after a dilation of
size .
b. Find the coordinates of the image of the triangle after a translation
right 3 units and up 2 units.
c. Find the coordinates of the image of the triangle after a rotation
of 1808.
d. Find the coordinates of the image of the triangle after a reflection in
the line y = x.
Click here to see answer by Mathtut(3670) |
Question 177718: 8. nABC has coordinates (1, 1), (3, 4), and (0, -5). Write the vertices in
matrix form.
a. Find the coordinates of the image of the triangle after a dilation of
size .
b. Find the coordinates of the image of the triangle after a translation
right 3 units and up 2 units.
c. Find the coordinates of the image of the triangle after a rotation
of 1808.
d. Find the coordinates of the image of the triangle after a reflection in
the line y = x.
Click here to see answer by Mathtut(3670) |
Question 177938: please solve each matriz..
1. [3 4] [3]
[-1 -1]x=[2]
2. [6 2] [8 1]
[-1 4]-x [1 3]
3. x+[1 3 6] [8 1 0]
[-1 2 1]= [14 3 -1]
4. [-3 -2] [8 -1]
[1 1] x=[6 0]
5. 4x+3 [3 2] [10 8]
[1 -2]= [5 -2]
6. 2x=1/4[-6 2]
[8 -8]
Click here to see answer by Mathtut(3670) |
Question 178109: Find a quadratic function in standard form for each set of points.
(0, 3), (1, –4), (2, –9)
(0 , –4), (1, 0), (2, 2)
Click here to see answer by solver91311(16897)  |
Question 185849: A total of twelve thousand passengers normally ride the green line of the MBTA during te morning rush hour. The token prices for a ride are .25 for childern under 12, $1 for adults and .50 for senior citizens. The revenue from these riders is $10,700. If he token prices were raised to .35 for childern under 12 and $1.50 for adults, and the senior ctizens price was unchanged, the expected revenue from these riders would be $15,820. How many riders in each category normally ride the green line during the morning rush hour?
I know how to do matrices, however, I can not figure out how to set this one up and could use some help.
Click here to see answer by stanbon(57387) |
Question 186735: Working with matrices and thought I had a handle on them. But this one's got me puzzled. The last row does not appear to be valid...how can zeroes = 1? Here's the problem
Considering the following matrix:
[0 1 1 0 0 | 0]
[0 0 0 1 0 | 0]
[0 0 0 0 1 | 0]
[0 0 0 0 0 | 1]
1. Is it in rref?
2. If it is in rref, what is the solution set?
3. If it is not in rref, why?
Click here to see answer by Edwin McCravy(8909)  |
Question 186733: Ok, so I am given 4 matrices and 2 operations to perform (if possible). I don't think the operations can be performed, but would like to verify that that's true.
Here are the 4 matrices:
A =
[2 -1 3]
[0 4 -2]
B =
[-3 1]
[ 2 5]
C =
[-1 0 2]
[ 4 -3 1]
[-2 3 5]
D =
[3 -2]
[0 -1]
[1 2]
Here are the 2 operations:
1. (B^5)A + D (I think the addition of matrices requires identical
dimensions & here we have a 2x2 added to a 3x2)
2. (3)BA + (4)AC (I think the multiplication of matrices requires the
number of rows in the first matrix to match the number
of columns in the second. Here we have B as a 2x2 and
A as a 2x3; then, A as a 2x3 and C as a 3x3)
Thanks for taking a look, I appreciate your assistance.
Click here to see answer by Edwin McCravy(8909) |
Question 187223: Que:If A is an invertible matrix of order 2,then det(A^(-1)) is equal to ?
My solution:
So, |A^(-1)|=
=
=
=
Given order =2
=>|A^(-1)|= =1
Answer given at the back of the textbook is 1/|A|
How to arrive at such a result?
Click here to see answer by stanbon(57387) |
Question 190631: A group of students decides to sell pizzas to help raise money. They sold pepperoni for $12, sausage for $10, and cheese for $8. The class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage. Set up a system of three equations and three unkowns, use the augemented matrix to solve.
Click here to see answer by jim_thompson5910(28598) |
Question 191482: a. Write each linear system as a matrix equation in the form AX=B
b. Solve the system using the inverse that is given for the coefficient matrix.
The inverse of
x + 2y + 5z = 2 [ 1 2 5] is [ 2 -1 -1]
2x + 3y + 8z = 3 [ 2 3 8] is [12 -7 -2]
-x + y + 2z = 3 [-1 1 2] is [-5 3 1]
Click here to see answer by Edwin McCravy(8909) |
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