# 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 358373: Use the row echelon method to solve the system of three equations in three unknowns. 2x+y+z=9 -x-y+z=1 3x-y+z=9 Click here to see answer by robertb(4012)

 Question 358396: can two different 3x3 matrices have the same determinant? if so, give an example Click here to see answer by robertb(4012)

 Question 358501: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is \$70, and the cost of materials for a trail bike is \$50. The cost of labor to manufacture a mountain bike is \$80, and the cost of labor to manufacture a trail bike is \$40. During a week in which the company has budgeted \$2500 for materials and \$2600 for labor, how many mountain bikes and how many trail bikes does the company plan to manufacture? Click here to see answer by jrfrunner(365)

 Question 358355: THE NAME OF THE ASSIGNMENT IS OPERATIONS WITH MATRICES find C+D if C=[14,8,-1] and D=[-10,8,15] find A-B if A=[2,-7 and B=[-3,2 1,4] -6,0] if A=[2,5 and B=[1,2 find 4A-5B -3,-6] -4,9] Click here to see answer by Fombitz(13828)

 Question 358780: Find the dimensions of the matrix. [-1 2 5 0 -5 0 9 7 9 12 8 -1 8 -5 0 6] Click here to see answer by Fombitz(13828)

 Question 359168: The road from Tedium to Excitement is uphill for 5 miles, level for 4 miles, and then downhill for 6 miles. John Mayer walks from Excitement to Tedium in 4 hours. Later he walks halfway from Tedium to Excitement and back again in 3 hours and 55 minutes. Finally he walks all the way to Excitement from Tedium in 3 hours and 52 minutes. What are his rates going uphill, downhill, and on level ground assuming that these rates remain constant? Click here to see answer by ankor@dixie-net.com(15650)
 Question 359168: The road from Tedium to Excitement is uphill for 5 miles, level for 4 miles, and then downhill for 6 miles. John Mayer walks from Excitement to Tedium in 4 hours. Later he walks halfway from Tedium to Excitement and back again in 3 hours and 55 minutes. Finally he walks all the way to Excitement from Tedium in 3 hours and 52 minutes. What are his rates going uphill, downhill, and on level ground assuming that these rates remain constant? Click here to see answer by mathtutor19(8)

 Question 359550: The cost of six shirts and 2 pairs of trousers is 1320. While that of 3 shirts and 4 pairs of trousers is 1290. Find using a matrix method the cost of 2 shirts and 2 pairs of trousers. Click here to see answer by Fombitz(13828)

 Question 359714: I am attempting to help my daughter with her Algebra 2 homework. I got the problem set up but have no clue how to proceed from here. The problem is (1 1 1 1 1 1 1 1 1) The next part of the matrix which is to be multiplied is (4 over 9). This the matrix, I think, that I need to work with. The original problem states: 1 putt is a hole in one; 2 putts is a birdie; 3 putts is a par and 4 putts is a bogey. Grace placed 18 holes of miniature golf. On each hole, sh made a birdie, a par, or a bogey. She made 4 more pars than birdies and bogeys combined. Her total score was 55. How many birdies did Grace get? Now I am lost once I got the above problem set up. Can you please help? Click here to see answer by Fombitz(13828)

 Question 360033: solve the system of equations by augmented matrix: 2x-y+z=1 x-y+z=-1 x-2y+z=2 Click here to see answer by Jk22(389)

 Question 360408: how do you salve this problem z+2/3=5 z+2/3-2/3=5-2/3 z= Click here to see answer by robertb(4012)

 Question 361049: I have worked out Eigenvalues of the following matrix 1 -1 2 0 2 0 3 -3 2 They are = -1, 2, 4 I cant seem to work out the eigenvector for -1. Could someone show me step by step how this achieved. I can then use this to work out 2, and 4. Click here to see answer by robertb(4012)

 Question 84358: Can someone help me with these two problems explaining them to me if someone has time please. Problem #1 If A is a 5 X 2 matrix and A + k = A, what do you know about K? Problem #2 Find the values of the variables in each equation. i don't know how to do the matrix box so i will separate them the first matrix is a 2 X 3 plus the second matrix that is a 2X 3 Equal the third matrix which is a 2 X 3. I try to separate the numbers inside the matrix with a forward slash. so a+2 is ontop of row that reads 4k and then the same for the second matrix and the last matrix [ a+ 2 / 3z+1 / 5m ] + [ 3a / 2z / 5m] = [ 10 / -14 / 80] [ 4k / 0 / 3 ] [ 2k/ 5 / 6] [ 10 / 5 / 9] Click here to see answer by robertb(4012)

 Question 362031: I need to submit this assignment system of equation using matrix inversion method, 2x + 4y + 2z = 12 5x - 2y + 6z = 07 3x + 3y - 4z = 5 Could you please help. Click here to see answer by Fombitz(13828)

 Question 362789: How to solve the sum of two numbers is 16. The second number is twice the first Click here to see answer by Manny Pacquiao(82)

 Question 363184: how do you solve the equation for the given variable w/x=y/z;z Click here to see answer by Fombitz(13828)

 Question 363245: how do u construct a 3x3 square martix,A, where(the i and j are little letters to the bottem of the A) Aij=i^2+2j-3 Click here to see answer by solver91311(16884)

 Question 363246: how do u construct a 3x3 square martix,A, where(the i and j are little letters to the bottem of the A) Aij=i^2+2j-3 Click here to see answer by Fombitz(13828)

 Question 364426: Solve the matrix equation -2x+3■(2&-8@-4&2)=■(4&-6@2&-8) I am not sure how to type matrices in here. Please help, I am trying to help my son with his algebra and neither one of us understands how to do this. Could you please explain in step by step instructions. Thank You. Click here to see answer by Fombitz(13828)

 Question 364823: Solve for X ( 2x2 matrix ) Click here to see answer by Edwin McCravy(8908)

 Question 365000: How do I solve using cramer's rule? 2a+3b=6 2a+b=-2 Click here to see answer by ewatrrr(10682)

 Question 365778: 7 2 determine whether the matrix has an inverse. If an inverse exists, find it. 0 -3 Click here to see answer by jim_thompson5910(28595)

 Question 365789: determine whether the matrix has an inverse. if an inverse matrix exists, find it. Click here to see answer by Edwin McCravy(8908)

 Question 366299: what is an ordered triple that would be a solution to the quation 2x-4y+3z=10 Click here to see answer by stanbon(57337)

 Question 366298: what is an ordered triple that would be a solution to the quation 2x-4y+3z=10 Click here to see answer by robertb(4012)

 Question 366377: if find the values of m and n given that (AA)= mA+nA (A is a matrix of order 2×2) Click here to see answer by Edwin McCravy(8908)

 Question 366412: Please help me solve this equation: | x 5 2 | |-6 4 1 | = x^2 + 22x - 1 | 3 1 x | I've tried: (solving the 3x3..) 4x^2+15-12-24-x+30x 4x^2+29x-21 (then equaling that to the right part of the original equation...) 4x^2+29x-21=x^2+22x-1 3x^2+7x-20=0 I don't know know where to go from there to solve for x. Click here to see answer by solver91311(16884)