Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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Question 472804: Which is the transformation matrix for a positive rotation of 250 degrees about the origin?
a) -sin 250 cos 250
cos 250 -sin 250
b) cos 250 -sin 250
sin 250 cos 250
c) cos 250 -cos 250
cos 250 cos 250
d) sin 250 -cos 250
cos 250 sin 250
I really don't understand what they mean by transformation matrix...please help if you can!
Click here to see answer by stanbon(57361)

Question 472985: Does the system have a solution? If so, could you help me find it?
x+y=9
5x+y=29
x-y=2

How do I graph the function f(x)=[x-2]+3?

How do I solve the system :
x-y+z=1
2x+2y=4
-x+4y+3z=6
Thank you for your time.
Click here to see answer by stanbon(57361)

Question 473485: What is w,x,y, and z when using matrices to solve the following system?
w-3x-2y+z=-3
2w-7x-y+2z=1
3w-7x-3y+3z=-5
5w+x+4y-2z=18
Click here to see answer by Alan3354(30993)

Question 473485: What is w,x,y, and z when using matrices to solve the following system?
w-3x-2y+z=-3
2w-7x-y+2z=1
3w-7x-3y+3z=-5
5w+x+4y-2z=18
Click here to see answer by Edwin McCravy(8909)

Question 473608: Solve for X
X 1 8
1 X -4
0 1 8

a. 0 or 1/8
b. 0 or -1/8
c. 1/8
d. -1/8
Click here to see answer by Alan3354(30993)

Question 473872: find all solutions of the system of equations.
{x + sqrt (y) = 0
{y^2 - 2x^2 = 3
Click here to see answer by robertb(4012)

Question 474015: what are the x,y,z coordinates of -9x-9y-9z=27
-4x-7y+9z=-16
-5x-7y+2z=-2
Click here to see answer by stanbon(57361)

Question 474016: what are the x,y,z coordinates of -7x-8y+2z=-6
-8x-2y-4z=-12
-3x-9y+5z=6
Click here to see answer by Edwin McCravy(8909)

Question 474032: what are x,y,z coordinates of -x-8y+4z=7
-7x-y+2z=-12
0x+y-z=1
Click here to see answer by MathLover1(6634)

Question 474507: Solve the following system of equations using a matrix.
3x-5y+z=-8
4x+y-z=46
5x-7y+3z=0
Click here to see answer by stanbon(57361)

Question 474507: Solve the following system of equations using a matrix.
3x-5y+z=-8
4x+y-z=46
5x-7y+3z=0
Click here to see answer by Alan3354(30993)

Question 474568: Find the value of

Click here to see answer by Edwin McCravy(8909)

Question 474567: Find the value of
|5 3 -2|
|1 0 4|
|4 1 2|
Click here to see answer by ewatrrr(10682)

Question 474573:
If and , find AB.
Click here to see answer by Edwin McCravy(8909)

Question 475047: I am reading my solutions and I don't understand how I get from one tableau to another. We pivoted around the second row and second column.
1 2 4 1 0 0 | 8
3 8 1 0 1 0 | 10
-4 -32 1 0 0 1 | 0
to
1 0 15 4 -1 0 | 22
3 8 1 0 1 0 | 10
8 0 5 0 4 1 | 40
Click here to see answer by solver91311(16897)

Question 475251: x + 2y + 2z = 25
2x + y + z = 17
2x + 2y + z = 20
Click here to see answer by stanbon(57361)

Question 475818: Good afternoon! I was wondering if I could get a jumpstart on how to perform this matrice:
x+y-z=-2
3x-4y+5z=1
2x-2y+7z=0
Thank you for your help. I appreciate it.
Click here to see answer by stanbon(57361)

Question 476101: Matrix algebra is KILLING me!
I need to know how to find the determinant for a problem like this, for example:

4 2 -3
1 -2 4
1 1 1
Click here to see answer by jim_thompson5910(28595)

Question 476246: how many different second order determinant can be formed from four different numbers?
Click here to see answer by Tatiana_Stebko(1326)

Question 476719: EVALUATE X-3/X^2-9
Click here to see answer by stanbon(57361)

Question 477307: How would I solve the system:
2x+6y=8
-5x-y=-6
I tried using elementary row of operations but I keep getting stuck.
Click here to see answer by robertb(4012)

Question 479115: Solve the following matrices using these operations 5A, A - B, AB, BA
1. a = [ 1 5 ] b = [ 8 1 ]
*they are columns, not rows, i dont know how to make a column. like [ 1 5], it is a column so it's like 1/5

Click here to see answer by Tatiana_Stebko(1326)

Question 479405: Minimize C = x +y with the
following constraints:
O~x~4
O~y~4
2x - 3y ~ -1
-x + Y L 0
Click here to see answer by solver91311(16897)

Question 479466: 3x-2y+5z=31
x+3y-3z=-12
-2x-5y+3z=11
Click here to see answer by Edwin McCravy(8909)

Question 479644: Hi
Matrix A
-3 1 3
-2 5 -4
4 -2 -1
Matrix B
-3 -5 -3
2 -1 4
-5 -2 -5
Find BA
Thank you

Click here to see answer by Edwin McCravy(8909)

Question 480514: subtract the matrices

Click here to see answer by Edwin McCravy(8909)

Question 480456: The following equations have infinitely many solutions

x + 3y =3
-x + 7y + 5z =18
-2x + 6y + 6z =24
Give the right hand side of the vector form of the general solution, using a parameter such as s or t. (Any lowercase letter will do as a parameter, so long as it is not x, y or z.)

FOR EXAMPLE, for the equations
x = y + 1, y = z + 1, z = x − 2
one correct answer is
[x, y, z] = [0, −1, −2] + t [1, 1, 1]
and you would enter the right hand side of this equation in the space provided:
[0, −1, −2] + t * [1, 1, 1]

Click here to see answer by Edwin McCravy(8909)

Question 480796: please help me solve this linear equation by means of determinants 5x-2y=4
-2x+7y=-14
Click here to see answer by Tatiana_Stebko(1326)

Question 483646:
Find the solution to the following system of equations using the Gauss-Jordan method.
3x + y = 1
x - y = 1
Click here to see answer by jorel1380(2518)

Question 483654: Use Cramer's rule to solve the following system of equations. If D = 0, use another method to solve the system.
A. (3, 8)
B. (8, 3)
C. (-8, 3)
D. No solution
E. None of the above
Click here to see answer by Alan3354(30993)

Question 485291: the matrix
X23
2X3 = 0
23X
solve for value/s of X..thanks
Click here to see answer by Tatiana_Stebko(1326)

Question 485960: Solve the equation using the inverse of the coefficient matrix:
4x+y-4z=17
2x+y-z=12
-2x-4y+5z=17
Click here to see answer by Edwin McCravy(8909)

Question 487330: Hello, this question is not about matrices, but I could not find a category that corresponded with my question!
A Chevrolet dealer has 160 new cars for sale on her lot. Among these cars, 50 have four-cylinder engines, 80 have a tilted steering wheel, 30 have power windows, 42 have four-cylinder engines and a tilted steering wheel, 18 have four-cylinder engines and power windows, 15 have all three features, and 65 have none of the features. How many of these cars have a tilted steering wheel and power windows? How many cars have at least one of these features? How many cars have exactly 2 of these features?
Thanks so much.
Click here to see answer by josmiceli(9681)

Question 487790: How do I do this problem?
Y^2=5Y
Click here to see answer by solver91311(16897)

Question 488031: a company offers a starting yearly salary of $39,000 with raises of $2,200 per year. Find the total salary over a ten year period
Click here to see answer by John10(245)

Question 491423: What's the solution to (x^6-5)+(x^6+5)
Click here to see answer by rfer(12660)

Question 491426: what's the solution to (-5x+7)-(x^2+x-2)
Click here to see answer by rfer(12660)

Question 491431: what's (x+7)^2
Click here to see answer by rfer(12660)

Question 491417: What's the solution to (-5x+7)(x+9)
Click here to see answer by rfer(12660)

Question 491415: What is the solution to the problem (2t-7)(2t-7)?

Click here to see answer by rfer(12660)

Question 493960: -4a + b + 5c = 19 6a- 3b -5c = -21 -a - 2b - 6c = -17 My Question What Would Be The Marix ? Will It Have A Soultion Or No ?
Click here to see answer by stanbon(57361)

Question 494511: Matrix A
5 1 0
-2 3 1
0 2 4
Matrix B
-1 2 -3
0 5 4
2 -1 2
Click here to see answer by MathLover1(6634)

Question 499824: 1a + 2b + 1c = 5
1a - 1b - 1c = 3
0a + 1b + 1c = 2
Click here to see answer by MathLover1(6634)

Question 499819: +5 - 2 = 27
-3 + 5 = 18
2x3 matrix.
Click here to see answer by Alan3354(30993)

Question 499814: 0 + 2 - 1 = -7
1 + 4 + 1 = -4
5 - 1 + 2 = 13
Click here to see answer by Alan3354(30993)

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