Column Definition and 334 Threads

Hi, So I am wondering if anyone would have any ideas on to how to maximize the most of my data collection efforts into characterizing a distillation column that we are using in my senior design course to separate a mixture of IPA and EtOH. The column contains sieve trays, with 5 of them...

Positive real numbers are arranged in the form: 1 \;\;\; 3 \;\;\; 6 \;\;\;10 \;\;\; \cdots 2 \;\;\;5 \;\;\;9 \;\;\; \cdots 4 \;\;\;8 \;\;\; \cdots 7 \;\;\; \cdots Find the number of the line and column where the number 2002 stays.

Homework Statement For a solar tower compare the total force on the air column in the tower (i) by calculating the pressure at its bottom and top (ii) from Archimedes’ Law. Hint: there is a temperature difference between top and bottom of the tower. I have to estimate height...

Hey I have a text file with 2 blocks of Data Example Numbers 1: 1,2,3,4,5,6 7,8,9,10,11 ... Numbers 2: 92,93,94,95,96 97,98,99,100,101 ... How would i use FORTRAN to read the text file and output in a column and row format.. Example 1 92 2...

Homework Statement Given a matrix A. So I can reduce A to ref(A). Let's say in ref(A), the columns that contain leading ones are column 1, 3, and 5. True or false: (a) Columns 1, 3, and 5 from ref(A) form the column space of ref(A). (b) The corresponding column 1, 3, and 5 from the original...

Homework Statement I'm given a 4x5 matrix with one missing column. I'm also given the RREF form with no missing columns. Previous parts of the question made me find the row, column, and null basis for the matrix. Now it's asking: d) Find the missing column. (Hint: Are the columns of...

Hi We have a matrix A (picture), the eigenvalues are λ1 = 4 and λ2 = 1 and the eigenvectors are λ1 : t(1,0,1) λ2 : t1(1,0,2) + t2(0,1,0) I have to examine if there's a column vector v that satifies : A*v = 2 v I would say no there doesn't exist such a column vector v because 2 isn't an...

Question 7c on attached, in the solutions could someone explain why the person multiplied the column vector OB by h? I don't get it

1.Construct a matrix whose null space consists of all linear combination of the vectors, v1={1;-1;3;2} and v2={2,0,-2,4} (v1,v2 are column vector).2.The equation x1+x2+x3=1 can be viewed as a linear system of one equation in three unknowns. Express its general solution as a particular solution...

In this theorem it states " Let A be a m x n matrix. That is For each vector b in R^m, the column Ax=b has a solution..." Why do they say that bεR^m? Is that because b is a mx1 column matrix where it has m rows making it belong to R^m?

Hi, in this setup we have a bucket of water 10 kgs of water inside. Attached is a weight meter measuring that in fig a. The weight is exactly 10kgs. In fig b. A piston (red) is being pulled by a weight (z). "z" has a pull force equivalent to the volume of the column of water above the piston...

Homework Statement Folks, Ask to calculate the weight ##W(x)## of this tapered column at a distance x from the top as shown in the sketch. Homework Equations Given: A trapezoid of bottom base 1.5m, top is 0.5m, length is 0.5m and height 2m. Specific weight is 25kN/m^3 Area of trapezoid...

Postby Robbie8 » Mon Sep 03, 2012 7:44 pm Hi, I am using a php view to show a table of all the entrants in my projects with their number, name, rounds and points. I have two projects Project One and Two which have their results displayed in tables. The width of the columns for the values in...

Hi, first off all, I know this isn´t the best forum for my questions about HPLC columns, but unfortunately on other forums either people don´t answer or don´t know what they are talking about. So here my question: I have to separate enantiomer proteins with HPLC columns. I read it is import...

Hello all, I devised a concept a couple years ago for renewable energy and hit a stumbling block: How do you insert a buoyant object into the bottom of a water column with the smallest amount of energy? Recently I revisited the concept and found some similar work online including this...

Homework Statement So the actual problem "Find the value of a for which the following system of linear equations has a solution" 2x + 4y + z = a -4x -7y + 0 = 1 0 -1y -2z = 1 Homework Equations The Attempt at a Solution I thought one approach was to find a basis for the...

hello guys, I'm having problems understanding why if we were to have a tuning fork that vibrates at a particular natural frequency, it will resonate at many different lengths of air column (which means different natural frequency of air column). Does this mean that the natural frequency of the...

Guys when i study earthquake , they told me that the column stiffness is 12EI/L3 if column is fixed -fixed and 3EI/L3 if column is pin -fixed, so how they get this, i try to study stiffness Matrix and it gives you big matrix for frames not Only one factor like 12EI/L3 please explain

Homework Statement i am struggling with a question i have.. i can't find the right equation to use to find what the minimum length of the column at which buckling is likely to occur?? can anyone offer any help with this as my lesson books show me nothing on how you find length? i have D=80mm...

Hello, I have a relatively simple problem, You have two columns filled with numbers. I want my macro to go through and check the columns or one of the colums to see if it has a number in it, then operate on those numbers and display an output in a third column . I tried this; Sub...

I've been dabbling with linear algebra lately and on the MIT OCW course for linear algebra, the professor talks about a column representation of a system of linear equations. For example, you teaches you to represent a 2x + 3y = 4 5x + 7y = 9 as a x [\stackrel{2}{5}] + y...

I just want to know the relationship between beam depth and column size. I know there is a relationship. But in uniform loading, do they increase beam depth or column size? or rather.. would increasing beam depth and keeping column constant be able to handle more load? or should the beam depth...

Hi folks, is there an analytical solution for the determinant of the following matrix: - - | A B | | C d | - - where A is a n-1 x n-1 lower triangular matrix and B and C are n-1x1 and 1xn-1 matrices and d is a non-zero number.

I'm doing a particular form of regression that gives a eigenvector and matrix for the solution. I'm using two matrix libraries to code the solution. One library yields the minimum column vector in each column. The other does not, is there a method in linear algebra to convert the eigenmatrix...

Homework Statement Homework Equations P = EI pi^2 / Leff radius of gyration: SQRT (I/A), slenderness ratio: Leff/r The Attempt at a Solution So I've found Ixx = 240.81 x 10^6 mm^4, Iyy = 71.9 x 10^6 A = 9600 finding the radiuses of gyration rx = 158.38, ry = 86.54 effective length of...

I was wondering whether we can use row as well as column operations to reduce a matrix to find column space? Or do we only have to perform row operations to reduce matrix in case of row space and column operations to find column space?

Are there any special relationships between the column vectors of a matrix and the corresponding column vectors of its inverse?

Matrix: Ã= 1 -2 0 0 3 2 -5 -3 -2 6 0 5 15 10 0 2 6 18 8 6 Matrix on reduced echelon form: 1 0 0 -2 3 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 0 X 0 0 -2 3 0 X 0 -1 0 0 0 X 1 0 0 0 0 0 0 Are the pivot positions the ones I've marked with X? And therefor colum 1, 2 and 3 are pivot columns...

Homework Statement a concrete column, 4.5m long, is reinforced with steel bars and carries a compressive load of 58 tonnes. The overall cross-sectional area of the column is 0.1m squared and the steel reinforcement accounts for 5 percent of this area. take young's modulus for steel as 200 GN/m...

Hello I am new to MATLAB and I am trying to perform the task of removing redundancies from a two column vector. One column holds the indices, the other column holds the values. I don't know how to remove the redundant values! Any ideas? I have hear that Unique works, but I have the feeling...

Is it true that if an n by n matrix A has n-linearly independent eigenvectors, then it must also be invertible because these n-eigenvectors span n-space. But does this reasoning work the other way around: that is if A is invertible, does that imply n-linearly independent eigenvectors can be...

Hello, Does the column space of a matrix A always equal the column space of the rref(A)? i.e. are the solution sets to Ax=b, or even Ax=0 the same for A and rref(A)? When doing some examples of matrices that had some linearly independent columns it seemed the Span was preserved by row...

That’s an old time question that it’s still a mistery to me. It’s a lot of time that I am trying to find an answer, but no text is clear on the topic and I am basically self-taught. What’s the difference between row vectors and column vectors? I came to this question when I found that the...

\frac{x[Ain]-x[Aout][/SUB][/SUB]}{x[Ain]-x[out][/SUB][/SUB]}=\frac{\sum s^{K}-1}{\sum s^K} (1) for k = 0 to n Final result...

http://img268.imageshack.us/img268/4821/98922663.jpg Uploaded with ImageShack.us Effective length: x-x axis = 1 x 6500mm y-y axis = 1 x 5000mm do i have the right effective length?

The weight of a body is less when it is submerged in water, due to the upthrust. But the weight of the water column above the body can be far more than the upthrust(weight of the displaced water). So is it not that the weight of a body can increase when it is submerged in water?

Homework Statement If, in a matrix, there is a column of all zeros, does this mean the given vector/matrix is linearly dependent? An example would be: [1 2 0 4] [2 3 0 1] [5 2 0 7] A few questions to clear up some possible misconceptions: 1) The matrix above is a 4-dimensional vector...

Homework Statement An air column is closed at on end, with a length of 25.3cm, resonates in the first overtone. If the frequency of the sound wave is 1024Hz, find the air tempature inside the column. Homework Equations v=f(wavelength) v= 332 + v/v+-vs The Attempt at a Solution

Mwater g(H+h) If you have a column of water 100 meters tall (10 atm) and you insert an object in at the bottom of the column you have to use enough energy to displace the volume of the object. The pressure times the volume is your energy requirement: correct? But suppose you were able to...

https://www.physicsforums.com/attachments/42439 What is the minimum length of the column at which buckling is likely to occur? The buckling equation is: F= ((∏^2)*E*I)/(K*L)^2 E is the modulus, I is the area moment of inertia, K is the buckling coefficient, and L is the length of...

This is a self-study homework problem. I am trying to verify the "falling column physics" associated with leaning forward with our center of mass in front of our feet. Homework Statement Describe the free body diagram for a column (tree, pencil, person) leaning from vertical. Assume there...

[Complex Analysis] Conformal mapping of a column into a line Homework Statement I'm having a problem with this problem (:smile:) where I have to transform an area of 2 circles, the one contained within the other, into a straight line. I've managed to transform the circles using a Möbius...

Homework Statement This is the given function: Homework Equations The RMS equation goes like this: \sqrt(\frac{\int(f(t)^2 dt)}{b - a}) The Attempt at a Solution The first part of the exercise was to find the mean value. This is A/4. The RMS value should be higher...

Homework Statement Hi, Is there a matrix property that can be applied to take the square of a column vector? Something like: {\bf x}=\left[x_1,x_2,x_3\right]^T \left[{\bf x}\right]^2 ={\bf x}{\bf x}^T or ={\bf x}^T{\bf x}? Thank you. Homework Equations The...

I recently ran a baylis-hillman reaction of 2nitrobenzaldehyde and acrylonitrile (DABCO catalyst) and after my reaction had gone to completion (determined by tlc) i extracted with chloroform/washed with brine, dried, filtered, rotovaped etc etc I ran a crude NMR and determined I did have my...

Homework Statement It is known that water in a capillary will rise to a certain height, as shown in the figure. Comparing the points P and Q, which point exhibit larger pressure? a. P b. Q c. The pressure of P and Q are the same Homework Equations F_upward=2*pi*R*T*cos⁡θ W=pi*R^2*...

EQUALITY OF ROW AND COLUMN RANK (o'Neil's proof) Is there smt wrong? http://www.mediafire.com/imageview.php?quickkey=znorkrmk3k1otjd&thumb=6 Theorem 7.9: EQUALITY OF ROW AND COLUMN RANK Proof: Page 210. It writes:... so the dimension of this column space is AT MOST r (equal to r if...

Homework Statement Suppose a 3 x 5 matrix A has row-reduced echelon form: [[1 2 0 0 5] [0 0 1 0 4] [0 0 0 1 3]] a. Describe NS(A) b. Describe CS(A) c. Suppose . [[2] . [3] [[-2] A [5] = [4] = b . [1] [3]] . [9]] To be clear, that's the original matrix A times the...

Homework Statement Homework Equations The Attempt at a Solution Hi from Turkey...I really need to solve this 3 problem...I will enter exam whit same problems...I have some attempt but i really need to exatly result...Because our teacher doesn't give mark your solving way...So...

For fixed-fixed BC's, i have to arrest x and y displ. For simply supported case, i have to arrest y displ. Then my doubt is, while applying force at the end of the column, how the displacement will happen for fixed-fixed column.