
Tutors Answer Your Questions about Matricesanddetermiminant (FREE)
Question 384240: Write the augmented matrix for the system of equations and solve the system.
2x–3y+2z=2
x+ 4yz=9
3x+y–5z=5
so far, I have,
2 3 2 2
1 4 1 9
3 1 5 5
1 4 1 9
2 3 2 2
3 1 5 5
1 4 1 9
0 11 4 16
0 13 8 32
1 4 1 9
0 1 1 11
0 1 5 5
1 4 1 9
0 1 1 11
0 0 6 16
1 4 1 9
0 1 1 11
0 0 1 29
X+4yz=9
yz=11
z=29
x=122
y=40
z=29
I plugged in my solutions to the equation to see if they are right, but didn't work. What did I do wrong?
Click here to see answer by jim_thompson5910(33401) 
Question 384151: Please help me with this!
Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.
x – 5y + 2z = 0
x + 4y – z = 12
2x – y + 3z = 10
Click here to see answer by ankor@dixienet.com(18980) 
Question 387103: how do i turn this word problem into a linear system of equations? and as a matrix equation?
the problem: you have 20,000 to invest inn three types of stocks. you expect the annual returns on stock x, stock y, and stock z to be 12%, 10% and 6% as respectively. you want to combine investment in stock y and z to be 3x the amount invested in stock x. you want your overall annual return to be 9%
Click here to see answer by stanbon(69061) 
Question 389283: 1. If matrix A = [2 4] and matrix B= [2 5 0]
[3 1]
[1 0]
a) give the dimensions of A
b) give the dimensions of B
* the matrix a looks like this (i dont know how to make the big blocks) :
2 4
3 1
1 0
in light of the dimensions above,
1.can you multiply A x B?
2.if so, what are the dimensions of the result
3.give the result if possible.
Click here to see answer by ewatrrr(22107) 
Question 389307: how many solutions exist?
1.
3xy=7
6x2y=6
are the equations : consistent/inconsistent/dependent
graphs of the lines are : intersect/parallel/coincide
2.
3x+2y=5
x+5y=7
are the equations : consistent/inconsistent/dependent
graphs of the lines are : intersect/parallel/coincide
3.
x2y=3
3x+6y=9
are the equations : consistent/inconsistent/dependent
graphs of the lines are : intersect/parallel/coincide
Click here to see answer by robertb(4061) 
Question 391924: Given the linear system
3x+4y=s
6x+8y=t
(a)determine particular values for s and t so that the system is consistent.
(b)determine particular values for s and t so that the system is inconsistent.
(c)what relationship between the values of s and t will guarantee that the system is consistent?
Click here to see answer by robertb(4061) 
Question 391931: Determine a solution to each of the following linear systems, using the fact that Ax=b is consistent if and only if b is a linear combination of the columns of A:
{1234/2341/3412}{A/B/C/D}={20/20/20}
(Hints:It is {4x3 matrix}{4x1 matrix}={3x1 matrix},slash / mean next row)
P/S:I don't know how to write matrix bracket,hope you will understand
Click here to see answer by stanbon(69061) 
Question 391983: I am stuck with these martix problems! could someone please help? Here is the problem: Use Guassian elimination to find the complete solution to each system of equations, or show that none exists.
Here is the system of equations:
2wx+3y+z=0
3w+2x+4yz=0
5w2x2yz=0
2w+3x7y5z=0
(It almost looks like all the variables must be "0", but that can't be right!)
Anyway, here is the matrix taken from the system:
2 1 3 1 0
3 2 4 1 0
5 2 2 1 0
2 3 7 5 0
Ok, I need help from here, please! Thank you to whomever responds!
Click here to see answer by richard1234(6688) 
Question 392771: Please help! I need to solve the following using Cramer's Rule. The textbook doesn't do a good job of defining this, so i would be extremely grateful for any help!!
solve by Cramer's Rule:
3x=7y+1
2x=3y1
solve by Cramer's rule:
x3y+z=2
x+2y =8
2xy =1
Thank you for your help!
Click here to see answer by stanbon(69061) 
Question 392769: Could someone please help? I need to a) write each linear equation as a matrix equation in the form of AX=B. then i have to B) solve the system using the inverse that is given for the coefficient matrix.
here is the problem:
The system is:
x6y+3z=11
2x7y+3z=14
4x12y+5z=25
The inverse of: 1 1 1
0 2 1
2 3 0
is.... 3 3 1
2 2 1
4 5 2
Please help!! I have NO idea where to start! Thank you to whomever responds!!!
Click here to see answer by stanbon(69061) 
Question 392758: Please help!! Am having great difficulty! The problem:
Use the fact that if A= a b
c d , then A^1 = 1/adbc * d b
c a
to find the inverse of each matrix, if possible. Check that AA^1=I2 and
A^1A=I2.
A= 6 3
2 1
Thank you sooo much to whomever responds!
Click here to see answer by jim_thompson5910(33401) 
Question 392754: could someone please help?
I need to solve each system of equations using guassian elimination w/back substitution or guassjordan elimination. here is the system of equations:
1st system:
3yz=1
x+5yz=4
3x+6y+2z=11
2nd system:
3a+bc=0
2a+3b5c=1
a2b+3c=4
3rd system:
2w3x+4y+z=7
wx+3y5z=10
3w+x2y2z=6
Thank you to the person who responds! I would be extremely grateful for your assistance!!!
Click here to see answer by solver91311(20879) 

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