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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 117744: please help!!! I just spent 2 hours trying to figure this out. I have multiplied the second equation by -1 to eliminate two variables but the answer seemed wrong. I tried again and multiplied the first equation by -3 to eliminate z but this answer also seemed wrong. here is the problem...
solve the linear system without using matrices or detemrinants
0.1x+0.2y+0.2z=0.2
0.3x+0.5y+0.1z+-0.1
0.2x-0.3y-0.5z=0.7
Click here to see answer by stanbon(26283)   |
Question 117998: Hi, I am from Mumbai India. The problem is from " A New Approach to Mathematics & Statistics" It does not have a ISBN code.
Prove without expanding, that the following two 3x3 determinants are equal.
First determinant
(b+c-a),a,a
b,(c+a-b),b
c,c,(a+b-c)
Second determinant
a,b,c
b,c,a
c,a,b
Click here to see answer by Edwin McCravy(2922) |
Question 117012: Trying my best to get a better understanding of solving linear systems but I have a long way to go. I need step by step examples to follow. -
solve the linear system without using matrices or determinants
x+y+z=2
x-y+3z=12
2x+5y+2z=-2
Click here to see answer by bucky(1732) |
Question 118383: Find the value of z in the system equations
2x + 3y - 5z = 3
x - 2y + z = 0
3x + y + 3z = 7
using Cramer's rule. answers(0,4/7,1,10/7)
Find the value of x in the system of equations
2x + y - 4 = 0
13x + (5/2)y - 10 = 0
using Cramer's rule. (-2,-1,0,1)
Find the value of y in the system equations
5x - 3y = 18
2x + 4y = 2
using Cramer's rule. (-2,-1,0,1)
Find the value of y in the system of equations
2x + 3y - 5z = 3
x - 2y + z = 0
3x + y + 3z = 7
using Cramer's rule
(0,4/7,1,10/7)
Click here to see answer by Edwin McCravy(2922) |
Question 118461: solve using cramers rule:
-3x-5y+4z 6000
2x+3y+1z 5000
1x-4y-6z 13000
this is how i solved the question
-3 -5 4 x 6000
2 3 1 y 5000
1 -4 -6 z 13000
-3 3 1 - -5 2 1 + 4 2 3
-4 -6 1 -6 1 -4
-3 (3*-6-1*-4) + 5 (2*-6-1*1) + 4 (2*-4-1*3)
-14 -13 -11
42 -65 -44 -67
Click here to see answer by solver91311(5072)  |
Question 118800: This is on a hand-out from my teacher I am ill and being home schooled so I have missed all instruction on a matrix. The question is explain the difference between an a x b matrix and a b x a matrix. Please help. Thank you. This is the first time I have used this. Neither my father nor I can figure this one out.
Click here to see answer by bucky(1732) |
Question 122345This question is from textbook Intermediate Algebra
: A truck carrying 3600 cubic feet of cargo consisting of washing machines and refrigerators was hijacked. The washing machines are worth $300 each and are shipped in 36 cubit foot cartons. The refrigerators are worth $900 each and are shipped in 45 cubit foot cartons. If the total value of the cargo was $51,000, then how many of each were on the truck?This question is from textbook Intermediate Algebra
Click here to see answer by checkley71(8405) |
Question 123928: Here is the question:
The only value of m for which the following system does not have a unique solution is: m = _______.
s + mx = -7
-7s - 2x = -2
Moreover, for this value of m the system of equations:
a. has infinitely many solutions
b. is inconsistent
I've tried to work this problem out but I can't figure it out.
Thanks!
Click here to see answer by solver91311(5072) |
Question 132397: This problem is from a worksheet and I need to see if I am doing this correctly
Solve the system by carefully writing and solving a matrix equation. Use teh Causs-Jordan method to find A^-1 if it exist
-2x+3y=-1
3x-4y=5
Click here to see answer by stanbon(26283) |
Question 135426This question is from textbook Discovering Advanced Algebra
: A farmer raises only goats and chickens on his farm. All together he has 47 animals with a total of 118 legs. I am supposed to write a system of equations and an augemented matrix to find out how many of each animal he has. I then have to change the problem for the farmer's neighbor who has 118 animals with a total of 47 legs and writ a system of equations and augmented matrix for her. I am completely lost.This question is from textbook Discovering Advanced Algebra
Click here to see answer by stanbon(26283) |
Question 135889: This question is from my College Algebra Class Notes and Work Guide. It deals with Cramer's Rule.
{-3 4 -4}
{-3 K -1} = 58
{1 4 -2}
The numbers in the braquet, are all in one large bracket and then they all equal 58. I'm just not sure where to do with it.
Click here to see answer by stanbon(26283) |
Question 135889: This question is from my College Algebra Class Notes and Work Guide. It deals with Cramer's Rule.
{-3 4 -4}
{-3 K -1} = 58
{1 4 -2}
The numbers in the braquet, are all in one large bracket and then they all equal 58. I'm just not sure where to do with it.
Click here to see answer by solver91311(5072) |
Question 135991: I have another question. My professor wants us to solve these equations in four different ways and show our work. I have been able to do the simpler equations but when they have 3 or 4 variables it gets a little bit more complicated.
I need to use the elimination method, substitution method, determinant and coordinates for example if if x=0 y=-5 etc...
Here are two problems that I'm having a hard time with.
#5
x+y+z=6
2x-y+3z=9
-x+2y+z=6
#7
3x+2y+z=6
2x-y+4z=-4
x+y-2z=5
Each one has to be done in four different ways. Thanks again for all the help.
Anne
Click here to see answer by solver91311(5072) |
Question 136789: SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER IT BE ADDITION OR SUBSTITUTION)
6) y-3x= -2
6x-2y= 4
on this one i think i should use substitution, altough i'm really confused on this process.. please help!!
thanks,
lj23kfuller@yahoo.com
Click here to see answer by stanbon(26283) |
Question 136788: SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER ITS SUBSTITUTION OR ADDITION)
5) y=x+1
y=2x-1
now i understand if i use addition that my one's cancel out... but does that give me y= 3x or wut? i'm lost... do i need to solve for both?? where do i go from here? please help?
thanks, lj23kfuller@yahoo.com
Click here to see answer by stanbon(26283) |
Question 136905: I have tried every solution and I cannot come up with an answer to this problem.
I am trying to solve the problem by Crammer's Rule using determinants. The problem is: 3x - 2y+ z = 6
4x -4y + 3z = 0
5x - 4y + z = -5
I would very much appreciate your help,I have spent hours trying to find solutions to this problem. Thank-you.
Click here to see answer by stanbon(26283) |
Question 136905: I have tried every solution and I cannot come up with an answer to this problem.
I am trying to solve the problem by Crammer's Rule using determinants. The problem is: 3x - 2y+ z = 6
4x -4y + 3z = 0
5x - 4y + z = -5
I would very much appreciate your help,I have spent hours trying to find solutions to this problem. Thank-you.
Click here to see answer by solver91311(5072) |
Question 137422: I am soo confused on how to represent numbers with matrices. Such as [3 -2 1]
[2 1 -4}
A=2x3
It says that the special location for -2 is 12.And that -4 is a23. I dont know how to figure those out.
I was wondering how they figured that out.
THANKS!
Click here to see answer by Edwin McCravy(2922) |
Question 138012: I don't know where to begin with this-Help please! Write the matrix equation as a system of equations and solve the system. Thank You very much!
[1 2 3] [x] = [1]
[1 1 1] [y] = [12]
[-1 1 2] [z] = [2]
Click here to see answer by valpal314(2) |
Question 138333This question is from textbook College Algebra Enhanced With Graphing Utilities
: The question asks:
Solve each system of equations using matrices (row operations).
Problem 49:
Here's what I've tried:
Original augmented matrix:
[1 -2 3 7]
[2 1 1 4]
[-3 2 -2 -10]
*R[3]=r[1]+r[3]
[1 -2 3 7]
[2 1 1 4]
[-2 0 1 -3]
*R[2]=-2r[1]+r[2]
*R[3]=2r[1]+r[3]
[1 -2 3 7]
[0 5 -5 -10]
[0 -4 7 11]
*R[2]=(1/5)r[2]
*R[3]=-2r[1]+r[3]
[1 -2 3 7]
[0 1 -1 -2]
[0 0 1 -3]
*R[1]=2r[2]+r[1]
[1 0 1 3]
[0 1 -1 -2]
[0 0 1 -3]
*R[1]=-1r[3]+r[1]
[1 0 0 6]
[0 1 -1 -2]
[0 0 1 -3]
*R[2]=r[3]+r[2]
[1 0 0 6]
[0 1 0 -5]
[0 0 1 -3]
Therefore, I assume that the answer is x=6, y=-5, z=-3
BUT it's not. The answer is actually x=2, y=-1, z=1
When I input the matrix into my TI 84 Plus, I get
[1 0 0 2]
[0 1 0 -1]
[0 0 1 1]
which is the correct answer.
So, I know the start, I know the end, but I'm having trouble with the innards. Any suggestions? Thanks in advance for your help!This question is from textbook College Algebra Enhanced With Graphing Utilities
Click here to see answer by stanbon(26283) |
Question 138806: I really need some help with my math homework. This math sheet is hard. I have been working on matrices all weekend. Can someone please help me solve these problems.
Find the indicated matrix
17.) let A=[1 3] and B=[0 4]
[2 4] [-1 6] Find 2A+B
Click here to see answer by stanbon(26283) |
Question 138827: PROBLEM:
SOLVE THE EQUATION BY COMPLETING THE SQUARE AND APPLYING THE SQUARE ROOT PROPERTY.
4y^2-12y+13=0
THIS PROBELM IS VERY DIFFICULT FOR ME TO UNDERSTAND I KNOW THIS MUCH SO FAR BUT I GET STUCK CAN YOU PLEASE HELP!!
4y^2-12y=-13
4y^2-12y+(-12/2)^2=-13+(-12-2)^2
this is as far as i can get please help
Click here to see answer by vleith(1977) |
Question 138827: PROBLEM:
SOLVE THE EQUATION BY COMPLETING THE SQUARE AND APPLYING THE SQUARE ROOT PROPERTY.
4y^2-12y+13=0
THIS PROBELM IS VERY DIFFICULT FOR ME TO UNDERSTAND I KNOW THIS MUCH SO FAR BUT I GET STUCK CAN YOU PLEASE HELP!!
4y^2-12y=-13
4y^2-12y+(-12/2)^2=-13+(-12-2)^2
this is as far as i can get please help
Click here to see answer by stanbon(26283) |
Question 138830: PROBLEM:
SOLVE THE EQUATION BY USING THE QUADRATIC FORMULA.
-x+4x+32=0
HERE I KNOW THE QUADRATIC FORMULA AND HOW TO SET IT UP, BUT THE SOLVING PART IS VERY DIFFICULT FOR ME...
PLEASE HELP!!
THANKS,
lj23kfuller@yahoo.com
Click here to see answer by vleith(1977) |
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