Tutors Answer Your Questions about Linear Algebra (FREE)
Question 14983: You have two boxes of the same shape that hold flour. The larger box holds twice as much flour as the smaller one. You conclude that it would take you ?? times as much paint to paint the lager box then it would take you to paint the smaller box.
Click here to see answer by rapaljer(4671)   |
Question 15128: Let T be a linear operator on V.
Tv1= -v1-v2 and Tv2= v1-3v2 where (v1,v2) is a basis for V.
a) Find the characteristic and minimal polynomial.
b) Find all the linearly independent eigenvectors.
c) Find a jordan basis for T and exhibit the jordan form.
Click here to see answer by khwang(438) |
Question 14818: I need help: I have the formulas I just do not know how to apply them correctly. Here is the problem it is 9 ? out of : given points p(-1,2) and n(5,-7)...find (1) the midpoint. (2) the distance (3) the slope (4) slope of a line parallel to segment pn (5) slope of a line perpendicular to segment pn (6) slope-intercept form of the equation the line (7) point-slope form of the equeation of the line (8) standard form of the equation of the line (9) graph the points....Thanks
(1) midpoint --I can do...-1+5/2= 4/2 =2 2+-7/2= -5/2= -5/2 (2, -5/2)
(2) distance-
(3) the slope y2-y1/x2-x1= -7-2/5- (-1)= -9/6=-3/2
Click here to see answer by venugopalramana(3286) |
Question 15127: A^T denotes the transpose of a matrix A.
Show that = Tr(B^T,A) defines an inner product on R^(n x n)
Let U be the set of symmetric 2 x 2 matrices with real entries. U is subspace of R (2x2). Find an orthonormal basis of U with respect to the above inner product.
Click here to see answer by khwang(438) |
Question 15391: Suppose V is an n dimensional vector space and that T is an operator on V. T has n distinct eigenvalues. Also suppose that S is also an operator on V which has the same eigenvectors as T ( not necessarily with the same eigenvalues).
Prove that ST = TS
Click here to see answer by khwang(438) |
Question 16274: this is a four answer question. I found one of the answers by just guessing but I don't know how the operations work on a problem like this so can someone please eplain this to me?  enter them in increasing order: x1= __ x2= __ x3= __ x4=3
Click here to see answer by Earlsdon(6294) |
Question 16274: this is a four answer question. I found one of the answers by just guessing but I don't know how the operations work on a problem like this so can someone please eplain this to me? enter them in increasing order: x1= __ x2= __ x3= __ x4=3
Click here to see answer by tjnw79(57) |
Question 17949: I have been working on trying to find the eigenvalues and eigenvectors of the following matrix:
3 -1 2
2 0 2
5 -1 0
I have worked it to the point of finding the characteristic polynomial of:
-Lambda^3 + 3*Lambda^2 + 10*Lambda -8
This doesn't seem correct to me since, MATLAB gives the eigenvalues of (4,-2,1).
That is where I am stuck.
Any help is greatly appreciated.
Click here to see answer by venugopalramana(3286) |
Question 18656: ABCD is a sqaure. The midpoints of BC and CD are M and N respectively.
a) Express vector AM and vector An as linear combinations of vector AB and vector AD.
b) Express vector AB and vector AD as linear combinations of vector AM and vector AN.
Click here to see answer by venugopalramana(3286) |
Question 18994: is the following a linear transformation from R^3 to R^2?
L(x1,x2,x3) = (x2-x3,x1+2) ?
so i know how to prove that this is not closed under scalar multiplication and addition (due to the "2" in the second entry). so then is my answer just "no, it is not a linear transformation from R^3 to R^2 because it is not closed under scalar multiplication." ?
what about linear transformation from R^3 to R^4: L(x1,x2,x3) = (x2-x3,x1*x2,2x2-x1,x3+x2) ?
for this one, i dont quite understand how to go about it because the second entry is a product of two numbers and not just a sum. so then whould it count as being closed under scalar multiplication and addition? plus i remember seeing somewhere if R^m ---> R^n, then m must be greater than or equal to n. so then by this rule, the answer is automatically no because we are going from R^3 to R^4 and (obviously) 4 is greater than 3. i'm just not sure about all of this...
thank you so much for your help : ) i greatly appreciate it!!!
Click here to see answer by khwang(438) |
Question 20750: Hi, I'm in homeschooling and I'm having trouble with matrices. I was wondering how to solve the problem where you have to find the x,y, and z values in the matrix:
[7 -7 5 | 9]
[9 5 -7 | -17]
[6 1 -7 | -2]
I'd appreciate the help. Thank you!
Caitlyn Reese
Click here to see answer by venugopalramana(3286) |
Question 20219: question:you need 12 gallons of water for your garden. if you only have two buckets, one that holds 4 gallons and one that holds 9, how can you bring the water in only one trip?
my answer:
gallons, less than or equal to, 12
gallons, less than or equal to, 4
gallons, less than or equal to, 9
9+4=13
4 gallons in one and 8 gallons in the other
would this answer be correct?
Click here to see answer by danielle123(2) |
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