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

Algebra ->  Matrices-and-determiminant -> Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!      Log On


   



Tutors Answer Your Questions about Matrices-and-determiminant (FREE)


Question 985011: show that every square matrix can be expressed in one way onl as a sum of hermitian and skew hermitian matrix
Click here to see answer by solver91311(24713) About Me 

Question 985249: Given the matrix:
[4 0 -2
-1 -2 3
8 5 1]
What is a_(base)1,2
Thank you.

Click here to see answer by ikleyn(52754) About Me 

Question 985264: Forgive me for asking this again, but I was misunderstood and unclear in typing the question the last time. When I typed a_(base)1,2 I meant 1,2 not 12. Sorry.
The question goes as follows:
Given the matrix:
[4 0 -2
-1 -2 3
8 5 1]
What is a_(base)1,2?
Thank you very much.

Click here to see answer by ikleyn(52754) About Me 

Question 985355: This is the second part to my first question.
Given the matrix:
[4 0 -2
-1 -2 3
8 5 1]
What is a_(base)3,2
Thank you kindly.

Click here to see answer by ikleyn(52754) About Me 

Question 985364: Given the matrix:
[4 0 -2
-1 -2 3
8 5 1]
What is a_2,2?
Thanks.

Click here to see answer by srinivas.g(540) About Me 

Question 985356: Given the matrix:
[4 0 -2
-1 -2 3
8 5 1]
What is a_(base)2,2?
Thank you in advanced.

Click here to see answer by srinivas.g(540) About Me 

Question 985378: Write the augmented matrix associated with the system of equations.
2x+y+2z=0
4x+3y-z=1
5x-4y+3z=-41
What is the augmented matrix?
Thank you.

Click here to see answer by ikleyn(52754) About Me 
Question 985378: Write the augmented matrix associated with the system of equations.
2x+y+2z=0
4x+3y-z=1
5x-4y+3z=-41
What is the augmented matrix?
Thank you.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 985458: What are the solution of these 1.) 4x+2y=-8 2.) 3x+y=3, 3.) 5x-3y=9 using the cramers rule ?
x+y= -1 x-y=7 x+2y=9

Click here to see answer by ikleyn(52754) About Me 

Question 985405: Solve the system of equations using the methods of matrix row reduction.
2x+y+2z=-4
4x+3y-z=1
5x-4y+3z=-34
What is the solution?
Thank you.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 985383: Solve the system of equations using the methods of matrix row reduction.
2x+y+2z=-4
4x+3y-z=1
5x-4y+3z=-34
What is the solution?
Thank you kindly.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 985488: Solve the system of equations using the methods of matrix row reduction.
2x+y+2z=0
4x+3y-z=1
5x-4y+3z=-41
What is the solution?
Thank you.

Click here to see answer by MathLover1(20849) About Me 

Question 985498: Please help me with this multiple choice matrix question:
While using the Gaussian method you get [0 0 0 5] as a row in your augmented matrix. What can you conclude about the system of equations you are dealing with?
The system is:
a) solvable , b) inconsistent , c) dependent
Thank you.

Click here to see answer by solver91311(24713) About Me 
Question 985498: Please help me with this multiple choice matrix question:
While using the Gaussian method you get [0 0 0 5] as a row in your augmented matrix. What can you conclude about the system of equations you are dealing with?
The system is:
a) solvable , b) inconsistent , c) dependent
Thank you.

Click here to see answer by ikleyn(52754) About Me 

Question 985519: Can two matrices be equal and have different dimensions?
Thanks

Click here to see answer by rothauserc(4718) About Me 

Question 985526: This question was quite difficult to type up so forgive me if it seems confusing, and I only put the multiple periods in between the letters and underneath the numbers so the matrices would be whole and not in pieces.
Given matrices:
A: [3]
B:[2 9]
C: [2 4 -3
....-2 3 0]
D: [ 3 2
......3 2
......3 2]
E: [-8 -2
......0 0]
F: [ 2 3 4 5 6 7 9]
G:
[3
2
1
0
9
8
7]
Which matrices can be multiplied by A on the right?
Thank you kindly in advanced for your help and time.

Click here to see answer by stanbon(75887) About Me 

Question 985516: This is the second part to my first question.
a) While using the Gaussian method you get [0 0 0 5] as a row in your augmented matrix. What can you conclude about the system of equations you are dealing with?
b) What if you get [0 0 0 0] as a row?
The system is:
a) solvable , b) inconsistent , c) dependent
Thank you.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 985683: This is the second part of my first question:
(I put multiple periods in between the letters and numbers so that the matrices would be whole.)
Given matrices:
A: [3]

B:[2 9]

C: [2 4 -3
....-2 3 0]

D: [ 3 2
......3 2
......3 2]

E: [-8 -2
......0 0]

F: [ 2 3 4 5 6 7 9]

G:
[3
2
1
0
9
8
7]
Which matrices can be multiplied by A on the right?
(Enter the uppercase letters corresponding to the correct answer.)
Thank you.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 985689: Forgive me, but I forgot to ask which of these matrices can be self-multiplied?

Given matrices:
A: [3]
B:[2 9]
C: [2 4 -3
....-2 3 0]
D: [ 3 2
......3 2
......3 2]
E: [-8 -2
......0 0]
F: [ 2 3 4 5 6 7 9]
G:
[3
2
1
0
9
8
7]
Thank you in advanced for your help and time.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 985695: Given:
[2 6 ... [4 -6 ... [2 6
1 3] * -1 3] = 1 3]
Is [4 -6 an identity matrix?
...-1 3]
(I hope this is not confusing. It is read as (2 6 1 3) in a 2x2 matrix times (4 -6 -1 3) in a 2x2 matrix)
Thank you.

Click here to see answer by ikleyn(52754) About Me 

Question 985692: True or False:
If matrix A can be multiplied on the right by matrix B, must it be possible to multiply matrix B on the right by matrix A?
Thank you in advanced.

Click here to see answer by ikleyn(52754) About Me 

Question 985708: Find the minor of the element equal to 7 in the matrix:
[ 3 2 7
1 -2 4
5 3 -1]
Thank you kindly.

Click here to see answer by ikleyn(52754) About Me 

Question 985874: Find m_(base)2,2 of the matrix:
[ 3 2 7
1 -2 4
5 3 -1]
Thank you.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 985891: This is the third and final part of my last question:
Find the cofactor of the element equal to 7 in the matrix:
[ 3 2 7
1 -2 4
5 3 -1]
Thank you for your help and time.

Click here to see answer by solver91311(24713) About Me 

Question 985883: I'm sorry for asking this question once again, but the way I typed up the question did not properly explain that it was written as m_2,2 not m_22.
Find m_(base)2,2 of the matrix:
[ 3 2 7
1 -2 4
5 3 -1]
Thank you kindly for your help and time.

Click here to see answer by ikleyn(52754) About Me 

Question 985934: Find A_2,1 of the matrix:
[ 3 2 7
1 -2 4
5 3 -1]
Thanks.

Click here to see answer by ikleyn(52754) About Me 

Question 985942: Find the determinant:
[4 3 -2
5 1 11
0 1 2]
by expanding the minors, of the third row.
Thanks.

Click here to see answer by ikleyn(52754) About Me 

Question 985947: Suppose we have the system of equations:
3x+4y=27 and 2x-5y=-28
Using Cramer'r rule, we have D=?
Thank you in advanced.

Click here to see answer by Alan3354(69443) About Me 

Question 985524: This question was quite difficult to type up so forgive me if it seems confusing, and I only put the multiple periods in between the letters and underneath the numbers so the matrices would be whole and not in pieces.
Given matrices:
A: [3]
B:[2 9]
C: [2 4 -3
....-2 3 0]
D: [ 3 2
......3 2
......3 2]
E: [-8 -2
......0 0]

F: [ 2 3 4 5 6 7 9]

G:
[3
2
1
0
9
8
7]
Which matrices can be multiplied by A on the right?
Thank you kindly in advanced for your help and time.

Click here to see answer by Fombitz(32388) About Me 

Question 988276: if f(x)=4x^3+7x^2-x+c and f(2)=1, what is the value of c?
Click here to see answer by Cromlix(4381) About Me 

Question 987997: 3x+2y+z=0
Click here to see answer by Fombitz(32388) About Me 

Question 988451: A runner covers 55 yards in 5.5 sec. Find the runner's average speed in miles per hour
Click here to see answer by josmiceli(19441) About Me 

Question 990677: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix.
A is a 4 × 2 matrix, rank (A) = 4 and rank [A|B] = 4.

Click here to see answer by ikleyn(52754) About Me 

Question 990674: Consider the system −5x+2y−z = 0 and −5x−2y−z = 0. Both equations
equal zero and so −5x + 2y − z = −5x − 2y − z which is equivalent to y = 0. Does it follow that x and z can equal anything? Notice that when x = 1, z = −4, and y = 0 are plugged into the equations, the equations do not equal 0. Why?

Click here to see answer by ikleyn(52754) About Me 
Question 990674: Consider the system −5x+2y−z = 0 and −5x−2y−z = 0. Both equations
equal zero and so −5x + 2y − z = −5x − 2y − z which is equivalent to y = 0. Does it follow that x and z can equal anything? Notice that when x = 1, z = −4, and y = 0 are plugged into the equations, the equations do not equal 0. Why?

Click here to see answer by MathTherapy(10549) About Me 

Question 990678: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix.
A is a 5 × 5 matrix, rank (A) = 4 and rank [A|B] = 5.

Click here to see answer by ikleyn(52754) About Me 

Question 990676: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix.
A is a 3 × 4 matrix, rank (A) = 3 and rank [A|B] = 2.

Click here to see answer by ikleyn(52754) About Me 

Question 990675: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix
A is a 5 × 6 matrix, rank (A) = 4 and rank [A|B] = 4.

Click here to see answer by ikleyn(52754) About Me 

Question 991823: Find the inverse of the matrix [3 -1] it's a 2 by 2.
[-10 9]

Click here to see answer by Fombitz(32388) About Me 

Question 993856: x+2y+0z+3w=0
0x+y+z+w=1
0x+y+0z+w=2
x+2y+0z+2w=3

Click here to see answer by Alan3354(69443) About Me 

Question 994047: A stadium has 53,000 seats. Seats sell for ​$25 in Section​ A, ​$20 in Section​ B, and ​$15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in 1,134,500 from each​ sold-out event. How many seats does each section​ hold?
Click here to see answer by Boreal(15235) About Me 

Question 994099: A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1300. If the number of adult tickets sold was 10 less than twice the number of students tickets, how many of each type of tickets were sold for the showing?
Click here to see answer by josgarithmetic(39613) About Me 
Question 994099: A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1300. If the number of adult tickets sold was 10 less than twice the number of students tickets, how many of each type of tickets were sold for the showing?
Click here to see answer by stanbon(75887) About Me 

Question 994579: Find all X and Y (in R) so that A*A=A*B
A=[ X, 0
-3, Y]
B=[2, 0
4, Y]
I've tried this:
A*A=[X^2, 0
-3X-3Y, Y^2]
A*B=[2X, 0
-6+4Y, Y^2]
X^2=2X
X^2-2X=0
X*(X-2)=0
X1=0 X2=2
-3X-3Y=-6+4Y
6=7Y
Y1=6/7
Y2=0
Is my solution correct? Thank you!

Click here to see answer by Fombitz(32388) About Me 

Question 995384: Please help me solve this question
3w - 2x + 4y - 5z = 13
2w - 5x + 7y - 3z = 9
4w + 6x - 3y + 6z = 15
10w - 5x + 6y - 4z = 14
find the value of (w,x,y,x)

Click here to see answer by Fombitz(32388) About Me