|
Tutors Answer Your Questions about Linear Algebra (FREE)
Question 21928: I can't figure out this problem at all. I have an idea on how to solve it but I don't know how to get started.
Find the equation of the plane that passes through the point (1,1,1) and is normal to the vector N=(1,2,3).
Click here to see answer by khwang(438)   |
Question 22067: Provide an Appropritate Responce:
Let P be a 7 X 7 matrix that has a multiplicative inverse. Which of the following statements are false? (let 0 represent 7 X 7 zero matrix.)
(i) O*P=0
(ii)pp-1=0
(iii)p-1p=I7
(iv)pp-^1=P
A) (ii),(iv) B) (i), (iii) C) (iv) D) (ii)
Click here to see answer by khwang(438) |
Question 19367: show that the linear transformation T defined by T(x1,x2)=(-2x1+x2,3x1,3x2+1)is not linear. Wow I am stuck. I have I have x1=(-2,3,0)+x2=(1,0,3)+(0,0,1) but I have know idea where to go from here. I know that to be linear T(u+v)=T(u)+T(v)and T(cu)=cT(u) but I don't know how to show it. If someone could give me a hand I would REALLY appreciate it.
Click here to see answer by khwang(438) |
Question 22335: Find a basis of R^4 which contains the vectors (1,1,1,1) and (1,2,3,4). I know how to show a set of vectors is in the basis, but I'm having trouble working this one backwards and finding a basis for the set of vectors.
Click here to see answer by khwang(438) |
Question 22330: Let v1=(1,6,4), v2=(2,4,-1), v3=(-1,2,5) and w1=(1,-2,-5), w2=(0,8,9). Prove that span(v1,v2,v3)=span(w1,w2). thank you
Click here to see answer by khwang(438) |
Question 22538: Let L: R^2 -> R^2 be a linear operator. If
L((1,2)^T)=(-2,3)^T and L((1,-1)^T)=(5,2)^T
determine the value of L((7,5)^T)
The answer in the back of the book was (7,18)^T but I dont know the steps of how to get that solution
Click here to see answer by khwang(438) |
Question 22608: We know that if p(lambda) is the characteristic polynomial of an n x x matrix A, then p(A)=0. Define the minimum polynomial m(lambda) of A by requiring:
1)The degree of m(lambda) is > 0, and m(A)=0
2)m(lambda) is monic(leading coefficient is 1) and it divides any polynomial f(lambda) such that f(A)=0.
(a)Prove that every eigenvalue of A is a root of m(lamda).
(b)Find the minimum polynomial for matrix A = [1201]
[2110]
[0012]
[0021]
Click here to see answer by khwang(438) |
Question 22721: This is a problem in the text book "Matrix Analysis and Applied Linear Algerbra"
by Carl D. Meyer. problem 6.2.14. I have the answer manual to the problem but i dont understand it. I'm not sure how to scan and paste a picture of the problem so this is the best I can do. If someone have book availible, can you explain all 3 parts of question?
By considering rank-one updated matrices, derive the following formulas.
A1 is alpha varible with subscript 1
A2 is alpha varible with subscript 2
An is alpha varible with subscript n
matrix C:
[(1+A1) A2 ......An]
[A1 (1+A2) ......An]
[.............................]= 1+A1+A2+A3+ .....+ An
[.............................]
[A1 A2.......(1+An)]
Click here to see answer by khwang(438) |
Question 22333: proofs kill me! S=(v1,v2,...vn) is a linearly independent set of vectors in the vector space V, prove that any nonempty subset of S must be linearly independent.
I know that all subsets are nonempty because they all contain the 0 vector which makes it nonempty, but I don't know how to prove that its linearly independent. Do i perhaps solve the matrix to equal zero, showing that it is independent?
Click here to see answer by venugopalramana(3286)  |
Question 20737: The executives of the world famous " A slice of Pi" mathematics journal have determined that the cost of printing m magazines is one-third of the square of the number of magazines produced. Furthermore, they have dtermined that the revenue generated from seliing m magazines is 5 dollars more that twice the number of magazines sold. Assuming every copy of "A slice of Pi" magazine printed is always sold, how many magazines must they print in order to maximize their profit, AND what is the maximum profit? (hint: profit= Revenue- cost) I am completly lost excpet 1/3m2 Please HELP!
Click here to see answer by stanbon(26259) |
Question 24004: please please help i'm returning to school for the first time in years. i received a pop quiz in chemistry and i bombed it i have the quiz to go over. if you could explain one problem to me i think ican figure out the rest
(2*10^-2)^2
WHAT DO I DO?? :)
Click here to see answer by elima(1433) |
Question 24210: For a recent job, a plumber earned twenty-eight dollars an hour and the plumber's apprentince earned fifteen dollars an hour. The plumber worked three hours more than the apprentince. If together they were paid two hundred and thirteen dollars, how much did each earn?
Click here to see answer by josmiceli(3003) |
Question 24539: Hello - this question I am stuck on.
Solve x, y, z.
xy - 2(y^-2) + 3zy = 8
2xy - 3(y^-2) + 2zy = 7
-xy + (y^-2) + 2zy = 4
I first made a matrix:
1 -2 3 8
2 -3 2 7
-1 1 2 4
Then reduced and got
1 0 0 5/11
0 1 0 -7/11
0 0 1 23/11
This would make:
xy = 5/11
(y^-2) = -7/11
zy = 23/11
then solve by algebra and substitution.
This this correct?
Thanks
Click here to see answer by venugopalramana(3286) |
Question 24538: Hello: I am having a hard time with this problem:
For which values of "a" does the following system have zero solutions? One solution? Infinitely many solutions?
x1 + x2 + x3 = 4
x3 = 2
(a^2 - 4)x3 = a - 2
I wasnt sure if I should substitute x3 into the third equation, then solve for a. I re-read the chapter section and there are not any examples.
Thanks
Click here to see answer by AnlytcPhil(958) |
Question 24549: I have not had algebra in a couple years and I can't remember the how to solve this problem. I know the answer is supposed to be (-11/6), but I don't know how they got that answer!
2/(y+3)+ 3/(y-4)= 5/(y+6)
Click here to see answer by AnlytcPhil(958) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890
|
| |
