# 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 56319: Using the Gauss-Jordan method solve : x + 5y - z = -4 3y - z = -1 -3x + 6y + 2z = 11 Click here to see answer by venugopalramana(3286)

 Question 56995: find the inverse of the matrix [-4 3] [-3 2] Click here to see answer by venugopalramana(3286)

 Question 57158: Last Monday at 7:30 a.m., an airline flew 89 passengers on a commuter flight from Boston to New York. Some of the passengers paid \$120 for their tickets and the rest paid \$230 for their tickets. The total cost of all of the tickets was \$14,200. How many passengers bought \$120 tickets? How many bought \$230 tickets? Click here to see answer by rcmcc(152)

 Question 57161: A single dose of a dietary supplement contains 0.2 gram of calciun and 0.2 gram of vitamin C. A single dose of a second dietary supplement contains 0.1 gram of calcium and 0.4 gram of vitamin C. If a person wants to take 0.6 gram of calicum amd 1.2 grams of vitamin C, how many doses of each supplement should she take? Click here to see answer by stanbon(57308)

 Question 57398: how do you go about solving the following: 2x+y-z=5 3x-y+2z=-1 x-y-z=19 try to solve this system using either elimination or substitution: Click here to see answer by Nate(3500)

 Question 57400: Each matrix in an equation of the form AX=B has a name Coefficient matrix A Vaiable Matriz X Constant Matrix B 2 1 -1 x 5 3 -1 2 * y = -1 1 -1 -1 z 19 Find the product matrix 2 1 -1 x 3 -1 2 y 1 -1 -1 z Click here to see answer by venugopalramana(3286)

 Question 57787: Can you teach me how to solve this problem. The sum of three numbers is 105. The third is 11 less than ten times the second. Twice the first is 7 more than three times the second. Find the numbers. Click here to see answer by stanbon(57308)

 Question 57709: Using Gauss-Jordan elimination- solve following system of equations. x+y+z=2 2x-3y+z=-11 -x+2y-z=8 I think it is x= 1/3, y=10/3, z=-5/3 Am I correct? Thanks Click here to see answer by venugopalramana(3286)

 Question 58434: Can you please give me a step by step guide on how to solve 2x2 and 3x3 matrices using cramers rules! PLEASE PLEASE PLEASE!!!!! THANKS! Click here to see answer by venugopalramana(3286)

 Question 58535: when you are subtracting a matrices how do you change the signs Click here to see answer by funmath(2925)

 Question 58547: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. a) Write h as a function of r. Keep "" in the function's equation. Answer: Show work in this space. b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place. Answer: Show work in this space. c) Graph this function. Show graph here. Thanks Tine Click here to see answer by stanbon(57308)
 Question 58547: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. a) Write h as a function of r. Keep "" in the function's equation. Answer: Show work in this space. b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place. Answer: Show work in this space. c) Graph this function. Show graph here. Thanks Tine Click here to see answer by venugopalramana(3286)

 Question 58569: write the augmented matrix for the folowing system of equations x-7y+z=15 y+6z=14 z=11 Click here to see answer by Edwin McCravy(8908)

 Question 58566: evaluate the determinant 39 64 Click here to see answer by Nate(3500)

 Question 58568: use Cramer's rule to solve the given system 4x+5y=12 3x+y=-2 Click here to see answer by stanbon(57308)

 Question 58567: solve the following system of equations using matrices x-y+4z=6 2x+z=1 x+5y+z=-9 is it (0, 1, -2)?? Click here to see answer by funmath(2925)

 Question 58565: perform the matrix row operations and write the new matrix |2 -4 1 | 4 | |-5 0 1 | -3 | -3R1+R2 |-1 5 -2 | -1 | Click here to see answer by venugopalramana(3286)

 Question 58564: use cramer's rule to solve the given system: 2x+4y=14 4x+3y=18 Click here to see answer by funmath(2925)
 Question 58564: use cramer's rule to solve the given system: 2x+4y=14 4x+3y=18 Click here to see answer by charmedgurl013(1)

 Question 58744: using x, y, z and w, for the variables, write the system of linear equations represented by the given augmented matrix: 9 1 0 8|6 -1 5 1 0|-12 7 0 0 3|-9 0 4 0 -4|8 Click here to see answer by checkley71(8403)

 Question 58743: use Cramer's rule to solve the given system: 2x+2y=32 2x-3y=-3 is it 7,9? Click here to see answer by checkley71(8403)

 Question 58742: please write the system of linear equations represented by the augmented matrix: [945|-2] [509|4] [850|2] Click here to see answer by checkley71(8403)

 Question 58741: write the determinant -9-7 4 5 Click here to see answer by funmath(2925)

 Question 60374: 8x+9y=1 -2x+6y=5 solve this matrix. I am the older sister, who hasnt done matrix stuff since high school. I am trying to remember how to solve this equation. can you please help. sorry i didnt try, i doont have a book or anything. Click here to see answer by kayeith(17)

 Question 60004: 3x-3y=3 -2x =0 what is x and y Click here to see answer by kayeith(17)

 Question 60558: I need to solve this equation: (500-x)/y = 1.28 (470-x)/y = 0.25 Click here to see answer by jai_kos(139)

 Question 60557: I need to solve this equation: (500-x)/y = 1.28 (470-x)/y = 0.25 Click here to see answer by jai_kos(139)

 Question 61310: Decompose into partial fractions (check your answers)[x^2 -10x +13]/[x^2 -5x +6)(x-1)] Click here to see answer by venugopalramana(3286)

 Question 61637: The local yogurt bar features a banana treat made up of 2lb of bananas, 3lb of topping , and 4lb of frozen yogurt. The cost of the banana treat is \$19.00. One pound of topping costs \$1 less than one pound of frozen yogurt, which costs as much as 1/2 pound of topping and 4 pounds of bananas. How much does one pound of each ingredient cost? Click here to see answer by ptaylor(2048)

 Question 61622: The local yogurtbar features a banana treat made up of 2lb of bananas, 3lb of topping, and 4lb of frozen yogurt. The cost of the banana treat is \$19.00. One pound of topping cost \$1 less than one pound of frozen yogurt, which costs as much as 1/2 pound of topping and 4 pound of bananas. How much does one pound of each ingredient cost? Click here to see answer by ankor@dixie-net.com(15649)

 Question 62816: Find real numbers a, b, and c such that the graph of the function ax^2 + bx + c contains the points (1,1), (2,4), and (-3,29). Click here to see answer by venugopalramana(3286)

 Question 62883: okay, i'm not very good at matrices... [4 2]____[-6 0] [5 1]*A= [-15 3] (find matrix A) please help i'll be very grateful!! ps. sorry if it's confusing these are two 2x2 matrices ^^ Click here to see answer by stanbon(57308)

 Question 62817: Solve the system of equations using matrices. 3x - 2y + z = -7 x + y - 2z = 12 3x + y - z = 10 Click here to see answer by venugopalramana(3286)

 Question 63037: hello. I would like help on finding the inverse of a 3x3 matrix. my textbook does not explain how to find it. thank you Kyle Click here to see answer by stanbon(57308)

 Question 63045: i need lots of tutoring on this! im in algebra 2 and i dont get a thing! plz help! Click here to see answer by stanbon(57308)

 Question 63377: find the coefficent of x^5y^5 in the expansion of (2x+3y)^10 thank you Click here to see answer by fomunearantess@yahoo.com(2)

 Question 63494: You have \$9,000 to invest in three Internet companies listed on the stock market. You expect the annual returns for companies A, B and C to be 10%, 9% and 6%, respectively. You want the combined investment in comapnies B and C to be twice that of company A. How much should you invest in each company to obtain an average return of 8%? 1.) Set up three equations. 2.) Solve using any of the differnt types of matrix equations, and state which method you are using. ** Please help me with this if you can, I have been trying for about an hour and a half now, and I am completley stumped!! THANK YOU!! Click here to see answer by stanbon(57308)

 Question 63502: Given the following system of three equations, write as an augmented matrix. 3x - 2y + z = 4 2x + y = 3 x + 2y - 3z = 5 Click here to see answer by Edwin McCravy(8908)

 Question 63501: Perform the row operations on the given augmented matrix. a.) R2 = 3r1 + r2 b.) R3 = -2r1 + r3 c.) R3 = 4r2 + r3 1 2 -3 | 4 -3 -5 8 | -10 2 0 -1 | 4 Click here to see answer by Edwin McCravy(8908)

 Question 63500: A company manufactures three types of wooden chairs; the Kitui, the Goa, and the Santa Fe. To make a Kitui chair requires one hour of cutting time, 1.5 hours of assembly time, and one hour of finishing time. A Goa chair requires 1.5 hours of cutting time, 2.5 hours for assembly, and 2 hours for finishing. The Santa Fe requires 1.5 hours of cutting, 3 hours of assembly, and 3 hours of finishing. If 40 hours of cutting time, 70 hours of assembly, and 58 hours of finishing time were used one week, how many of each type of chair were produced? Click here to see answer by stanbon(57308)

 Question 63463: 2x-y-z=-3 x-2y+3z=6 x+y+z=6 use matrices to solve thank you Click here to see answer by ptaylor(2048)

 Question 63397: using matrices 2x-y-z=-3 x-2y+3z=6 x+y+z=6 thank you Click here to see answer by venugopalramana(3286)