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 which matrix movie did u like the best. me personally, i like the first one. which one do you like and why?? ...

 Can anyone explain what happened in the end? I don't understand. ...

 A matrix is a set of numbers that defines something, like a 3-Dimensional shape. Taking a ball as the simplest 3-Dimensional shape, a matrix can be used to represent every point in the ball. If you imagine fixing one point of the ball, say the top, and rotating it through 360 degrees, then you can produce a circle?s worth of different matrices, each of which describes the position of every point in the ball at a precise angle of rotation. These matrices will all have one point in common, and this point is the very top of the ball because this does not move when the ball is turned through 360 degrees. This set of matrices can be combined together to form a matrix group. This matrix group has one point in common and describes every point of the ball as it is rotated through 360 degrees. ...

 A matrix is a set of numbers that defines something, like a 3-Dimensional shape. Taking a ball as the simplest 3-Dimensional shape, a matrix can be used to represent every point in the ball. If you imagine fixing one point of the ball, say the top, and rotating it through 360 degrees, then you can produce a circle?s worth of different matrices, each of which describes the position of every point in the ball at a precise angle of rotation. These matrices will all have one point in common, and this point is the very top of the ball because this does not move when the ball is turned through 360 degrees. This set of matrices can be combined together to form a matrix group. This matrix group has one point in common and describes every point of the ball as it is rotated through 360 degrees. ...

 I have the following problem: I have a matrix (NxM) with random integers. I can move the columns up and down. For example if I have the following matrix and move down the first column: -5 9 4 13 0 8 10 -7 3 6 1 15 -4 11 -6 5 then it'll become: -4 9 4 13 -5 8 10 -7 0 6 1 15 3 11 -6 5 By analogy we do the same for the up movement. We can also move the rows left and right: 3 -4 2 3 - becomes: 3 3 -4 2 I have another matrix which is a result from the first matrix and up, down, left and right movements. The problem is if I have the first matrix and the result matrix how to find the movements? Excuse my bad english :) 1. The movements I've described are the only allowed to be applied over the matrixes; 2. I know that there might be a lot of solutions to the problem - there might be different ways to transform from the starting matrix to the result one - I just need a solution (if someone can think of the optimal one - with least number of moves, I'll be very glad) ...

 1. true/false Every square matrix A has an inverse A^-1 such that A(A^-1)=(A^-1)A=I . 2. true /false If A is an invertible 3x3 matrix and v=[1 2 3]^T , there exists some vector u such that Au=v . 3. true/ false If A is a 3x3 matrix with eigenvalues 0,1,2 , then there are three distinct eigenvectors corresponding to each of these eigenvalues. 4. true/ false If the eigenvalues of a 3x3 matrix A are 0,1,2 , then the eigenvalues of A+I are 1,2,3 if I is the identity matrix. 5. true/false The matrix with ones in every entry is invertible. 6. true/false If A is invertible and B is invertible and AB is invertible then A+B is invertible. ...

 How do I code 'Diagonal.java' part? There is Matrix.java and Dense.java, Diagonal.java which extends to Matrix.java. I have completed all the method in Dense.java. but I have a problem coding constructor part in Dense.java and Diagonal.java. please help me! //This is matrix.java class public abstract class Matrix { protected int row, column; // # of rows and columns in A protected abstract int getElement (int i, int j); protected abstract void setElement (int i, int j, int value); public abstract void gets (Matrix B); public abstract Matrix add (Matrix B); public abstract Matrix multiply (int alpha); public abstract Matrix multiply (Matrix B); public abstract Matrix transpose (); public String toString () { return "(size: " + row + "x" + column + ")\n"; } //And this is constructor of Dense.java part private int[ ][ ] A; public Dense (int[ ][ ] A) { super(row, column); this.A = new int[row][column]; } ...

 if you have a matrix m= [2 0, 0 2] ---note i dont know how to do matrices on computer so its a 2 by 2 matrix in one set of brackets....first 2 numebrs before comma are top row, after comma, bottom row. ok you have a matrix like M and calculate M^n for n=2, 3, 4, etc.... and then later on in the problem theres the matrix [k+1 k-1, k-1 k+1] and you consider values of k and describe the patterns observed and then you're supposed to generalize the results in terms of k and n. like how do you incorporate n into all of that? ...

 I'm now working on final project for my graduation, which is a ray casting application with bump mapping. But now I'm stuck with how to inverse a 4x4 Matrix that I need to convert light vectors from object space to tangent space. I'm searching all the whole internet, but only can find a 3x3 Matrix inverse, but not 4x4 one. I've also learnt that I can inverse a matrix by using adjoint-cofactor theory. But, as again, it's method only shows how to work under 3x3 Matrix. It's not that similar in analogy, because it involves matrix transpose on somewhere around. Are there people can help me with how to invert 4x4 Matrix? Code will be much better, but just the theory will be ok though. some of the good reference (but not helping) I have found so far: littlecutie, I have tried that method, but it ends me with error "divide by zero" because of so many zero on my matrix. That method is useful only if my matrix is a "standard" matrix which all the number in the diagonal line is not zero. @Dodgo82: oh... ic... but it still left some question: how if the matrix contain all-zero digits on a column, like this: 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 sure we can't search that '1' for column 3 from other line, do we? ...

 If A and B are n x n matrices, and AB is a product of elementary matrices, show that the same is true of A? I don't get it... Isn't every matrix a product of elementary matrices? ...

 I was wondering what the motivation for the definition of matrix multiplication is as it seems somewhat arbitrary. I'm not talking about a row matrix times a rectangular matrix, or a column matrix times another rectangulart matrix. I'm talking about the general case. If there is a theoretical reason for the definition please inform me. If the definition is motivated by something practical it would be nice to know of aswell(noth would be best). Are there any other motivations or theoretical reasons?just out of curiousity. ...

 [2 2 -4] [2 6 0] [-3 -3 5] Solve this 3x3 matrix by had using "row operations" to get the INVERSE matrix. Use the Identity matrix: [1 0 0] [0 1 0] [0 0 1] Using the idenity matrix and the given matrix, find the INVERSE matrix by hand. THANKS! ...

 I have a few questions that i'm not sure whether to nswer true or false on for a homework: 1) A system of equation is given by Ax=b, where matrix A is invertible. Therefore, the system has a unique solution. 2) The product of two matricie, A and B, is the null (zero) matrix. Either A is zero or B is zero. 3) Matrix B is of order n (n by n matrix). The determinant of (B*B Transpose) equals the determinant of (B*B) 4) The inverse of a matrix can be the null (zero) matrix 5) If a linear system is consistant, then it has an infinite number of solutions ...

 if i have a time matrix in minutes, and i have to use matrix multiplication to convert it to hours, what would i multiply the matrix by? ...

 These two proofs were confusing me so if anyone could explain them to me, I would really appreciate it! Thanks in advance. A matrix B is similar to a matrix A if there exists some (nonsingular) matrix P such that PAP^-1 = B. Show that: a) If B is similar to A, then A is similar to B. b) Show that if A and B are similar, then the determinant of A = the determinant of B. ...

 Tubing down Sleepy River is a pleasant activity that thousands of folks participate in during the summer. Sleepy River has seven places where you can get into or out of the river. These places are numbered 1 through 7; 2 is the downstream of 1, 3 is the downstream of 2, and so on. A different tube rental vendor does business at each location. The vendor that rents tubes at 1 will retrieve you and your tube at places 1, 3, 6, and 7; the vendor that rents tubes at 2 has a pickup service at 3, 5, and 6. The pickup services for the vendor that rents tubes at 3, 4, 5, 6, and 7 are, respectively at 3, 5, 7; 5, 6, 7; 7; 6, 7; and 7. (a)Write a 7x7 matrix in which the (i, j) entry is 1 if it is possible to rent a tube at i and be picked up at j and is 0 otherwise. (b)Write a 7x7 matrix in which the (i, j) entry is 1 if it is possible to be picked up at i when you rent your tube at j and is 0 otherwise. question for a and b: Is your matrix symmetric, upper triangular, or lower triangular? (c)Renumber seven tube rental places in the order downstream to upstream. For this numbering scheme write a 7x7 matrix in which the (i, j) entry is 1 if it is possible to rent a tube at i and be picked up at j and is 0 otherwise. Is your matrix symmetric, upper triangular, or lower triangular? ...

 how do matrix codes work? how do u decode a matrix code? if possible, can u give me an example by coding the word 'maths'. ...