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

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

Question 970759: Refer to matrix A and identify the matrix element a12
A= [0 -1]
1.5 3
7 -2
Click here to see answer by jim_thompson5910(35256)

Question 970842: The efficiency e of a gasoline engine as a function of its compression ratio r is given by e =1− r^1−γ , where γ is a constant.
Find γ for e = 0.55 and r = 7.5.
Click here to see answer by Boreal(15235)

Question 970839: Kepler's third law of planetary motion states that the square of the orbital period of any planet is proportional to the cube of the mean orbital radius of that planet, with the constant of proportionality being the same for all planets.
Using the fact that the orbital period of the earth is 1 year and its mean
orbital radius is 150 �10^6 km, calculate the mean orbital radius for Venus, given that its orbital period is 7.38 months.
Click here to see answer by Theo(13342)

Question 971057: how to solve this by using deteminants 5x=6y-3
2x+3y=18
Click here to see answer by Alan3354(69443)

Question 971057: how to solve this by using deteminants 5x=6y-3
2x+3y=18
Click here to see answer by solver91311(24713)

Question 972273: 3x+2y=54
2x-3y=10
Click here to see answer by Boreal(15235)

Question 974316: Solve the following system of linear equations using matrices :
2X + 3Y + 3Z = 5
X � 2Y + Z = - 4
3X � Y � 2 Z = 3
Click here to see answer by Alan3354(69443)

Question 974355: Given that-1=2-m.Find m
Click here to see answer by Fombitz(32388)

Question 974664: A souvenir shop gave away small gifts valued at $5 for sales of $25-$74.99, medium gifts valued at $8 for sales $75 - $149.99, and large gifts valued at $12.50 for sales about $150. The store gave away 102 gifts worth a total of $654 and six times as many small gifts as large gifts. How many of each gift were sold?
Click here to see answer by clearyjohn225(6)

Question 974842: Solve the system: 2x+3y+6z=2
-x+y+z=0
I tried by the equation
Please help me solve it..

Click here to see answer by Edwin McCravy(20054)

Question 975810: Use compliting square method to write the given quadratic equation y=x�-10x+8 as y=(x-h)2+k.
Click here to see answer by Boreal(15235)

Question 975815: What equation would satisfy the given conditions?
through(5,2) perpendicular to the line y=6
Click here to see answer by solver91311(24713)

Question 975815: What equation would satisfy the given conditions?
through(5,2) perpendicular to the line y=6
Click here to see answer by Edwin McCravy(20054)

Question 976105: Please solve.
Find the matrix product, if possible.
3 -1 0 -1
6 0 3 6
Show work. Thank you.
Click here to see answer by Alan3354(69443)

Question 976472: { [ (3-4)-(-2) ]-4}-[ (-10)-4]=
Click here to see answer by Boreal(15235)

Question 976838: Find the value of k such that the system of linear equations is inconsistent.

6x + 2y = 8
−9x + ky = −11

Click here to see answer by MathLover1(20849)

Question 977171:
1 1 1 Show that x y z = (y - x)(z-x)(z-y) X2 y2 z2

Click here to see answer by Edwin McCravy(20054)

Question 977890: please help me on this.
Click here to see answer by richwmiller(17219)

Question 977925: (-3, -3), (0, -3), (1, 1)
Click here to see answer by Alan3354(69443)

Question 978749: Dear tutor,
I have attempted 2 calculating processes for a determinant question, here I say Process 1 and Process 2.
The original question is:
|2 1 1|
|1 -1 1|
|3 -2 3|
Process 1
|2 1 1| | 0 0 1|
|1 -1 1|=|-1 -2 1|=1|-1 -2|=1(5-6)=-1
|3 -2 3| |-3 -5 3| |-3 -5|
Process 2
|2 1 1| |2 1 1| |2 1 1| |3 5 0|
|1 -1 1|=|1 -1 1|=|1 2 0|=|1 2 0|=1|3 5|=1(6-5)=1
|3 -2 3| |5 6 1| |5 6 1| |5 6 1| |1 2|
I have checked with many determinant tools which shown that Process A's answer is correct but Process B's is wrong.
My question is I have checked both Processes(multiplication, addition or substraction)are correct BUT got different answers.
I am very confused what's wrong with Process B which have correct calculating process but got wrong answer.
I hope my tutor can explained DETAILEDLY what's going wrong with calculation in Process B for I will attend Precalculus examination later.
I should show my kindly appreciation in advance.
Click here to see answer by Alan3354(69443)

Question 978778: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?

Your answer is
his speed equals
the wind speed equals
Click here to see answer by richwmiller(17219)

Question 978852: Using matrix method evaluate
X1 X2 X3 = 1
X1 2X2 X3 = 1
X1 2X2 X3 = 3
Click here to see answer by Fombitz(32388)

Question 979553: find the inverse of the matrix below using an echelon method
6 5 3
8 4 5
7 6 3

Click here to see answer by Fombitz(32388)

Question 979883: Compute the determinant:
4 0 -1
3 6 -2
-2 5 1
Complete lost on this one. Please help.
Click here to see answer by ikleyn(52754)

Question 980271: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,-2), (-2, 19) and (3,4). use the Guassian elimination
Click here to see answer by Fombitz(32388)

Question 980422: Use Cramer's Rule to solve. Sylvia has a piggy bank that contains nickels, dimes, and quarters. When she opens the bank and counts her money, she has $3.35. She counted twice as many nickels as quarters, and two more dimes than quarters. How many dimes does she have?

Click here to see answer by solver91311(24713)

Question 980889: please help me to evaluate the value of row 4
3 0 1 -1
5 2 1 0
-2 4 3 0
5 7 -6 3

Click here to see answer by Fombitz(32388)

Question 982106: find the inverse for the matrix, if it exists. If it does not exist, state that it does not exist. Please solve and show work. Thank you.
1 1
2 3
Click here to see answer by rothauserc(4718)

Question 982105: add the 2 matrices below, where possible. If not possible state that it is not possible.
3 -5
-5 + 1
-4 6
If this shows weird on your side, it is two columns with three rows of numbers. Please solve and show work, as I am unfamiliar with this concept. Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 982207:
Click here to see answer by macston(5194)

Question 982307: PLEASE HELP! I have no idea how to solve for x in matrices
[-14 -19 18]-([-4 1x 0] -[16 12 -8])=[6 5 10]
A.x = -7
B.x = 6
C.x = 4
D.x = -2
E. x = -4
F. x = -3

Click here to see answer by solver91311(24713)

Question 982584: Subtract the 2 matrices below, where possible. If not possible state it is not possible.
-1 0 -1 6
6 2 3 1
Please solve and show work. Thank you.
Click here to see answer by stanbon(75887)

Question 982591: find inverse:
*both matrices are 2x2. Rows separated by brackets*
[[6,-3][7,9]]X=[[-18,-93][4,-21]]
Please help. I have no idea how to do this.
Click here to see answer by jim_thompson5910(35256)

Question 982845: 3x+3y_z=11,2x_y+2z=9,4x+3y+2z=25solve by cramers rule

Click here to see answer by Fombitz(32388)

Question 982917: 108x=300z+30y

Click here to see answer by Fombitz(32388)

Question 983164: X+2y+z=7
X+3z=11
2x-3y=1

Click here to see answer by Timnewman(323)

Question 983164: X+2y+z=7
X+3z=11
2x-3y=1

Click here to see answer by ankor@dixie-net.com(22740)

Question 983158: How to solve for determinant of x+2y-3z=11
Click here to see answer by Fombitz(32388)

Question 983507: -13=5(1+4m)-2m
4x(-1+4)=12
-2=-(n-8)
Click here to see answer by MathLover1(20849)

Question 984298: 10x-2y+z=12,x+9y-z=10,2x-y+11z=20 i need answer fr tz question in gauss elimination method and gauss jourdan method imediately ..its so urgent
Click here to see answer by Edwin McCravy(20054)

Question 984621: 3x+5y=7, 1x+3y=4
solve using cramers rule
Click here to see answer by Fombitz(32388)

Question 984756: x+y+z=6
x-y+z=2
2x+y-z=1
Click here to see answer by Fombitz(32388)

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