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

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 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Question 176594: How do I find the determinant of A: A= 4 -7 3 -2 Click here to see answer by Fombitz(13828)

 Question 176600: If I use the Cramers rule to solve the equation, how do I solve the problem? 5x+3y=7 4x+5y=3 Click here to see answer by Mathtut(3670)

 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 176637: Solve the system using an augmented matrix. can you please shoe me the steps for doing this. thank you. 5x + 4y - z = 1 2x - 2y + z = 1 2x - y + z = 2 Click here to see answer by jim_thompson5910(28598)

 Question 176599: How do I solve the system of equations? x+2y-6=z 3y-2z=7 4+3x=2y-5z Click here to see answer by gonzo(654)

 Question 177030: Hello! How do I solve this determinant problem. I know the answer is 5/3 , -1 but am not sure how? Thanks for any help. Solve for x. Click here to see answer by jim_thompson5910(28598)
 Question 177030: Hello! How do I solve this determinant problem. I know the answer is 5/3 , -1 but am not sure how? Thanks for any help. Solve for x. Click here to see answer by Edwin McCravy(8909)

 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 177722: Find the determinant of each matrix. i cant find how to do this in my book. so please write the steps with answers. thank you [-6 -7] [5 8] [1 -5] [-2 9] [1 2 3] [6 0 5] [0 4 0] Click here to see answer by stanbon(57387)

 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 178362: Write an augmented matrix for each system of equations. Then solve each system. (i) 2m + 4n = 3 5m-3n = 6 (ii) 12x-y+12z=6 2x+y-2z=-4 9x+2y+3z=3 Click here to see answer by Edwin McCravy(8909)

 Question 178636: HOW DO YOU SOLVE THIS PROBLEM Y=(X-1)(X+2) I DONT GET THE STEPS IS IT GCF OR WHAT IM TOTALLY LOST Click here to see answer by josmiceli(9697)

 Question 181023: Solve the system of equations using substitution. 6x + y = 11 -6x -8y = -14 ----------------------------- The solution is _____ (Type an ordered pair. Type N if there is no solution. Type I if there are infinitely many solutions.) Click here to see answer by ankor@dixie-net.com(15660)

 Question 181548: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination? 3a+b-c=0 2a+3b-5c=1 a-2b+3c=-4 Click here to see answer by stanbon(57387)

 Question 182659: I have to do the Gauss Method for: x+y+z=2 2x-3y+2z=4 4x+y-3z=1 My teacher doesn't require us to use a textbook. Click here to see answer by MathGuyJoe(20)

 Question 184671: For what value(s)of k will the graph of y=3x^2+(k+2)x+3 touch the x-axis at exactly one point Click here to see answer by josmiceli(9697)

 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 187011: x + y + z = 2 x - y + z = 1 x - y - z = 1 solve for x, y and z Click here to see answer by sowmya(32)

 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 188320: use properties of determinants to find the value of each determinant if it is know that |x y z| |u v w| |1 2 3| =4 |x y z| |u v w| |2 4 6| Click here to see answer by jim_thompson5910(28598)

 Question 188948: Can You help me with this question please? By examining the sign of the discriminant d=0, how many x-intercepts would the graph of have? Why? Click here to see answer by Mathtut(3670)

 Question 189003: Solve for Matrix X. [2 1]X=[4 3] [5 3] [3 2] step 2 [3 -1] [4 3] [-5 2] [3 2] Please, I need help wth the next step. Click here to see answer by Edwin McCravy(8909)

 Question 189253: Simplify: (3x - 1) 2x^2 - x + 1) Click here to see answer by Mathtut(3670)

 Question 189314: the square of the sum of two numbers equals the sum of their squares plus twice their product Click here to see answer by checkley75(3666)
 Question 189314: the square of the sum of two numbers equals the sum of their squares plus twice their product Click here to see answer by J2R2R(94)

 Question 190068: Find the value of x+y in the following [3x-2] [x y] = [42 4] ..........[3 4] *I added the dots so the 3 and 4 could go under the x and y as one matrix Click here to see answer by cutepiscean5(19)

 Question 190080: our teacher is wanting us to this problem: 3 1 1 7 1 3 -1 13 -2 1 0 -1 look like this 1 0 0 x 0 1 0 y 0 0 1 z i continue to get the wrong answer and ive worked it out at least 4 times can you help me please Click here to see answer by jim_thompson5910(28598)

 Question 190355: I need HELP using the Gauss-Jordan method to find A-1 if it exists, Click here to see answer by jim_thompson5910(28598)
 Question 190355: I need HELP using the Gauss-Jordan method to find A-1 if it exists, Click here to see answer by Edwin McCravy(8909)

 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 191470: Let A = 1 -2 -1 0 1 2 0 0 -1 A. Calculate the determinant of A. Does the inverse matrix exist? If so, then calculate Ainverse. 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)

 Question 191849: Hey, Could you help me out with an easy way to do a euclidean algorithm. I cant understand them at all and need it for exam next week. Sorry to be annoying ya. Thanks.. Click here to see answer by jim_thompson5910(28598)

 Question 192037: Solve the system, if possible x - 4y + z= 9 3y -2z= -7 -x +z= 0 Worked on these problems for over 3 hours and got nowhere. plase help Click here to see answer by stanbon(57387)

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