Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 1042222: or which value of k does the following system of equation have non trivial solution (k-3)x+y=0,x+(k-3)y=0
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1042222: or which value of k does the following system of equation have non trivial solution (k-3)x+y=0,x+(k-3)y=0
Click here to see answer by ikleyn(52775) About Me 

Question 1042313: which condition must be placed on a,b,c, so that the system
x+2y-3z=a
2x+6y-11z=b
x-2y+7z=c
is consistent ? can the system have unique solution.

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

Question 1042311: determine the values of k for which the system
kx+2ky+3kz=4k
x+y+z=0
2x-y+z=0
has exactly no solution

Click here to see answer by ikleyn(52775) About Me 

Question 1042310: what condition a,b,c must staisfy so that the system x+y=2,y+z=2,x+z=2,ax+by+cz=0 is consistent
Click here to see answer by ikleyn(52775) About Me 

Question 1042309: given the homogenous system x+2y-z=0,3x-3y+2z=0,-x-11y+kz=0 . a)find the value of k for the system has a non trival solution .b)solve for the value of k
Click here to see answer by ikleyn(52775) About Me 

Question 1042312: determine the value of a so that the system
x+y-z=1
2x+3y+az=3
x+ay+3z=2
has
1)infinitely many solution
2)no solution
3)unique solution

Click here to see answer by ikleyn(52775) About Me 

Question 1042646: How can x + 2 = −3x + 11 be set up as a system of equations?
Click here to see answer by Alan3354(69443) About Me 
Question 1042646: How can x + 2 = −3x + 11 be set up as a system of equations?
Click here to see answer by ikleyn(52775) About Me 

Question 1042712: so if a vector is an V and a A what will it do?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1042735: Verify that matrix A is diagonalizable by computing P^−1AP


A =
0.65 0.15 0.10 0.10
0.15 0.65 0.10 0.10
0.10 0.10 0.65 0.15
0.10 0.10 0.15 0.65

P =
1 −1 0 1
1 −1 0 −1
1 1 1 0
1 1 −1 0

Click here to see answer by ikleyn(52775) About Me 

Question 1043499: a handbag and a briefcase cost rs 420 while seven handbag and 4 briefcase cost 2130. calculate the price of each.

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Question 1043869: "What would linear programming look like with 3 (or more) variables?" Let's tackle the 3 variable first then after (hopefully) coming to a solution we will look at 4 or more variables.
Click here to see answer by ikleyn(52775) About Me 

Question 1044123: Is the following statement always, sometimes or never true? Justify your reasoning
there should be arrows above the letters
|u + v| > |u - v|
thanks

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

Question 1044128: Been working on it, but still having troubles with it,
In a regular hexagon write a single vector that is equivalent to each expression:
There is a diagram of a hexagon with each of the vertices labeled A to F
A) Vector AB + Vector BC
B) Vector AB - Vector BC
C) Vector EF + Vector BC
D) Vector EA - Vector FB + Vector EC
Much appreciated

Click here to see answer by advanced_Learner(501) About Me 

Question 1044204: Points A, B and C are collinear. Point B is the midpoint of the line segment AC. Point D is a point not collinear with the other points for which DA=DB and DB=BC=10. Then DC is:
A) 20/✔️3
B) 10✔️2
C) 10✔️3
D) 20
E) 40/✔️3

Click here to see answer by robertb(5830) About Me 

Question 1044284: What does Describe each quantity each integer could represent mean ex:-1000
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1044529: use linear programming to maximize z=10x+15y subject to
x+4y < 360
2x+y<300
x>0, y>0
all signs are equal to

Click here to see answer by KMST(5328) About Me 

Question 1044577: |a 1 1 1|
|1 a 1 1|
|1 1 a 1| =(a+3)(a-1)^3
|1 1 1 a|

Click here to see answer by robertb(5830) About Me 

Question 1044576: |a b c d 1|
|b c d a 1|
|c d a b 1| =0
|d a b c 1|
|b a d c 1|

Click here to see answer by robertb(5830) About Me 

Question 1044593: | cosQ sinQ 0|
A= |-sinQ cosQ 0|
| 0 0 1|
is invertible for all Q ,the find A^-1.

Click here to see answer by robertb(5830) About Me 

Question 1044650: what condition a &b must satisfy so that the following system has nontrival
solution?
x+y+ax=0
x+y+bz=0
ax+by+z=0

Click here to see answer by robertb(5830) About Me 
Question 1044650: what condition a &b must satisfy so that the following system has nontrival
solution?
x+y+ax=0
x+y+bz=0
ax+by+z=0

Click here to see answer by ikleyn(52775) About Me 

Question 1044796: find the basic for the subspace of IR^4 spanned by s:
s={(2,9,-2,53),(-3,2,3,-2),(8,-3,-8,17),(0,-3,0,15)}.

Click here to see answer by robertb(5830) About Me 

Question 1044794: find the basic and the dimension of the solution space of
x+2y-3z=0
2x-y+z=0
4x+3y-z=0

Click here to see answer by robertb(5830) About Me 

Question 1044875: A ball is thrown directly upward from a height of 7 ft with an initial velocity of 20 ​ft/sec. The function ​s(t)=−16t^2+20t+7 gives the height of the​ ball, in​ feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height
Click here to see answer by ikleyn(52775) About Me 

Question 1045007: The perimeter of a slandered-sized rectangular rug is 40 ft. The length is 2 ft longer than the width. Find the dimensions.
Click here to see answer by addingup(3677) About Me 

Question 1045039: Describe why the constraints are a minimum or maximum.
I'm lost on breaking these down.
1X + 2Y ≥ 500 (Min)
2X + 1Y ≥ 150 (Min)
6X + 1Y ≤ 400 (Max)
10X + 1Y ≤ 300 (Max)

Click here to see answer by richard1234(7193) About Me 

Question 1045181: What is the formula used for solving a compound linear inequality, expressing the result as a graph, in set-builder, and interval notation. Thank you so much!!
For example:
1/2y + 2 > 1/3y - 4

Click here to see answer by josgarithmetic(39616) About Me 

Question 1045536:

Click here to see answer by ewatrrr(24785) About Me 

Question 1045619: Analyze the linear transformation L(x) = Dx that transforms the vector x = [1 4
] to the
vector L(x) = [3 6
] and also transforms the vector x = [2 5
] to the vector L(x) = [0 9
] by
doing the following:
1. Find the entries of the 2x2 matrix D that result in this transformation. 2. Describe, referencing the linear transformation, how the entries of matrix D were determined. 3. Describe the relationship between the determinant of matrix D, the area of S, and the area of the transformed figure P by considering a 2x2 square S in the xy-plane.
Note: The linear transformation L(x) transforms the square S into another shape P in the xy-plane.

Click here to see answer by robertb(5830) About Me 

Question 183119: 17. In each part, sketch the vector u + v+ w, and express it in component form.

(What am I doing wrong? I got the coordinate points of each initial point of the vectors and head of each vector, then I applied the formula and I am not getting the same answer as the book which is (-2,5). The head point for u is (5,-5), v is (-5,-3), and W is (-2,5). The coordinates for the initial points are u = (0,0), v = (5,-5), and w is (-5,-3).
Initial points: u= (0,0) V= (5, -5), w = (-5,-3)
Terminal Points u= (5,-5), v= (-5,-3) and w= (-2,5)

Click here to see answer by TipoTropical(1) About Me 

Question 1045709: How do I find X,Y,and Z?
X+y-2z=15
-x+2y+z=2
2x+3y-z=9

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

Question 1045741: f(x)=2x+6;vertical shrink by a factor 1/2
Click here to see answer by ikleyn(52775) About Me 

Question 1045924: Simplify (3√649^3)^-1
Click here to see answer by MathLover1(20849) About Me 

Question 1046171: The cartion co-ordination p and q are p(4,-1,1) q(6,2,-5).find displacement vector from p to q

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

Question 1046201: I need help to show a 2x2 matrix is invertible by using A has n pivot positions.
Click here to see answer by rothauserc(4718) About Me 

Question 1046425: What is the equation of line with gradient 5 and passing through the point (0,-2)? my answer is y=5x-2 is it correct thanks
Click here to see answer by MathLover1(20849) About Me 

Question 1046532: Find the Fourier series expansion of the periodic function f(x) of period p=2.
F(x) = x%5E2
0 < x < 2

Click here to see answer by ikleyn(52775) About Me 

Question 1046540: The symmetrix positive definite matrix
A = %28matrix+%28+3%2C+3%2C+16%2C+-8%2C+-4%2C+-8%2C+29%2C+12%2C+-4%2C+12%2C+41%29%29
can be written as the product of a lower triangular matrix
L=
and it's transpose L%5ET, that is A=LL%5ET.
Find L and L%5ET.

Click here to see answer by ikleyn(52775) About Me 

Question 1046695: A rental car cost $22 per day plus $0.40 per mile.If someone has $350 to spend and needs to drive the car 60 miles each day, for how many days can that person rent the​ car? Assume that the car cannot be rented for part of a day.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1046825: what is the answer for (x-3)(x-1)=0
Click here to see answer by addingup(3677) About Me 

Question 1046855: -4x - 7>-5x - 3

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

Question 1046951: This is an algebra question :-) and thank you for helping in advance:D
A bookshop owner bought x pencils for $32 and sold them at a profit of 5 cents per pencil. She ended up with 20 pencils left and received $35 for the sale of the pencils.
a)Find the selling price of each pencil
b)Form an equation in x and show that it reduces to x%5E2-80x-12800+=+0

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

Question 1047104: Please help solve. 2-(x-1/x)=7/x
Click here to see answer by advanced_Learner(501) About Me 

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