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

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 15310: Let x1<...< xm . For I = 1,…,m, define linear operators Ti : Pn --> R1 By Tip = p(xi). If m<=n, show that (T1,...Tm) is linearly independent. What happens if m>n? Explain 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 15524: Find a vector x with ||x||=2 that has the same direction as the vector defined by the points A(3,2,1) and B(1,-1,0). The opposite direction? Click here to see answer by venugopalramana(3286)

 Question 15544: Hello my name is josh and i really need help on linear graphs maths homework, my question is to draw a graph of y=4x,forx=-3 HELP i dont understand. Thanks Click here to see answer by Dont_Understand(8)
 Question 15544: Hello my name is josh and i really need help on linear graphs maths homework, my question is to draw a graph of y=4x,forx=-3 HELP i dont understand. Thanks Click here to see answer by Maricel Balos(8)

 Question 15581: determine an ordered pair solution that satissfies the following linear equations 2x-5=7y+3x Click here to see answer by Maricel Balos(8)

 Question 16090: Show that the rank of the transpose of the following matrix is the same as that of original matrix. 4 1 2 -3 2 4 8 -1 -2 Click here to see answer by venugopalramana(3286)

 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(6287)
 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 16273: = Enter the smaller number here __ and the larger on here __. Can some one please explain this to me. I don't have any clue as to how they want this solved. Click here to see answer by Earlsdon(6287)
 Question 16273: = Enter the smaller number here __ and the larger on here __. Can some one please explain this to me. I don't have any clue as to how they want this solved. Click here to see answer by tjnw79(57)

 Question 16271: There are two problems with this one question. x= ? + or -? Click here to see answer by rahman(247)

 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 18135: This is called a Literal Equation. Solve (x+7)(y+4)=5 for x in the form x=ay+b/y+c Click here to see answer by venugopalramana(3286)

 Question 18978: Hi. I'm not sure what type of problem this is but if you can help me I would be grateful. Problem: . My question is can I solve this problem using the Quadratic Formula? Click here to see answer by venugopalramana(3286)

 Question 17695: how do you tell how to locate a point a problem such as 2,7 on a chart Click here to see answer by Lauren(1)

 Question 19498: y=2x=4 x-4y=-7 solve each linear equations if possible. Click here to see answer by MelanieBCC(40)

 Question 20088: Can someone explain the step to solve a Linear Systems equation like this on? I don't understand any of this. Thank you. Click here to see answer by Earlsdon(6287)

 Question 20188: how do u factorise X squared + 9X + 20 Click here to see answer by elima(1433)
 Question 20188: how do u factorise X squared + 9X + 20 Click here to see answer by Earlsdon(6287)

 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 20891: Find the equation in the y = mx + b form of the line that contains the point (3,2) and has a slope of 4/3. Click here to see answer by algebrapro18(206)

 Question 20890: Find the equation of the line that passes through the point (2;1) and is parallel to the line y = 3/4 x + 7. Click here to see answer by algebrapro18(206)

 Question 20894: Find the equation of the line that passes through the point (6;-2) and has a slope of –3/2. Click here to see answer by algebrapro18(206)

 Question 20921: when i cancel the y's out the x's cancel out too. How do i do it without them cenceling out? 4x+5y=-14 8x+10y=-20 Click here to see answer by Paul(988)

 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)

 Question 20758: Recall that P3 is the space of all polynomials of degree less than three with real coefficients. Define an inner product < , > on P3 given by: < p,q > = the sum from i=1 to 3 of p(i-1)*q(i-1), and let || || be the norm with respect to this inner product. (a) let p(x)=1+x-x^2 and q(x)=2-x Find a polynomial f(x) in P3 which is orthogonal to both p(x) and q(x) with respect to the inner product. (b) find the distance between p(x)+q(x) and f(x). thank you so much for your help! Click here to see answer by khwang(438)

 Question 20562: I have a homework question where it asks the following question: Find the standard matrix representation for the following linear transformation. L is the linear transformation that rotates each xER^2 (every x in R^2) by 45 degrees in the counterclockwise direction then reflects about the line x2=x1. So far, I drew the geometric representation of the problem, where e1 is rotated from x1-axis and e2 is rotated from x2-axis by 45 degrees. Where I am is the 'relfects about the line x2=x1.' I have no idea what to do from here, can you help me? Click here to see answer by khwang(438)

 Question 21046: Matrices with the property A*A=AA* are said to be normal. 1. Verify that symmetric matrices and hermitian matrices are normal. 2. Give and example of a 2x2 matrix which is not symmetric nor hermitian but normal 3. Prove that if A is normal, then R(A) _|_ N(A). Click here to see answer by venugopalramana(3286)

 Question 21096: Hi! I'm in homeschooling and I've been having trouble with matrices. I asked a question the other day about them, and I'm still having trouble with another problem on my lesson. I'd appreciate the help! Here's the matrix: [ 7 -4 -2 | 9 ] [-5 8 5 |-8 ] [-5 5 8 |-2 ] Thank you! Caitlyn Click here to see answer by venugopalramana(3286)

 Question 21695: Solve and check the linear equations 3[-3x + 4 - 7(x+1)] = 2x + 5 Click here to see answer by Alwayscheerful(414)

 Question 20987: I am 45 years old and I am trying to help my exchange student with the problem: Click here to see answer by venugopalramana(3286)

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