1. B

    Guas-Jordan Row Reduction - system of 3 equations

    Hi I have three equations: 2x-2y+z=8 x+y-4z=3 x-3y+5z=5 and need to find all solutions. I wrote matrix A (being matrix of co-efficients) as: 2 -2 1 1 1 -4 1 -3 5 I then checked det(A) and found it equal to zero. So this then means there are a infinite no of solutions or no...
  2. S

    failing twice in a row with a 98 percent chance to succeed

    Can someone illustrate or lead me to some information on how I might find the odds of failing twice in a row with a 98 percent chance to succeed?
  3. S

    Gaussian Elimination reduced to row Echelon form.

    First time posting, sorry if I'm in the wrong topic. Can anyone explain how to do this question? Any help is appreciated.
  4. O

    Row echelon form backwards?

    x=1-2*t y=-2+3*t z=t Find a system of linear equations that has S as its solution set - don't make it too trivial - and explain what you are doing. Then show that solution with all steps clearly explained
  5. C

    Finding the determinant of matrix by reducing to row echelon form?

    I have tried this problem out multiple times, but i keep getting the wrong answer by row operations. The matrix is: [1 -3 0 ] [-2 4 1 ] [5 -2 2 ] I have found the determinant by cofactor reduction to be -17....and i'm fine up to this point ( I reduced it down to this by multiplying...
  6. W

    Reduced row echelon form

    1 0 0 0 3 1 0 1 0 0 1 2 0 0 1 0 1 3 0 0 0 1 2 0 compute this
  7. F

    Filling a Matrix with a Single One in Each Row and Column Such Row/Col distance > m

    Suppose you have a square matrix of size N\times N. Let initially the matrix be a_{ij} = 0. One needs to change N zeros to ones such that there is only one '1' in each row and column. For example: 1 0 0 0 0 1 0 1 0 Now, the question is: can you change N '0' to '1' such that the distance...
  8. T

    maximum absolute row sum norm of matrix

    Hi, i want to know how to computer maximum absolute row sum norm of matrix in pari gp Best regards.
  9. G

    Linear Algebra - rank, nullity, basis, row, null

    Hey guys, I'm after some help on this problem. Help would be much appreciated.
  10. D

    Row echelon form

    So there is this claim in my notebook that I didn't understand the proof.Maybe someone here can help me. Claim: Every matrix can be written in row echelon form. Firstly how do you prove this . secondly is it valid for Reduced row echelon form?
  11. D

    Reduced row echelon form

    Can someone explain me or prove this to me. It's written in my notebook that we have a Reduced row echelon form Matrix and it says that r=The number of rows in the matrix(excluding the rows that have only 0 in it) in other words the rank, i guess. and n=The number of unknowns (in other words...
  12. B

    Boys and girls sitting in a row.

    These problems are all sub problems of number 7, I've been assuming that they are all related, and there are no additional instructions not listed. I'm mostly just looking for confirmation that my solution is entailed from the premises. 7(b) In how many ways can 3 boys and 3 girls sit in a row...
  13. U

    Linear independence of row vectors

    If A and B are row equivalent matrices, then the row vectors of A are linearly independent iff the row vectors of B are linearly independent. How exactly do you prove this? This is my thought so far: First we assume the row vectors of A are linearly independent, hence they form a basis for...
  14. A

    Elementary Row Operations

    I'm doing homework and checking my answers with the appendices in the back of our textbook. I have this matrix that I'm supposed to turn into an elementary matrix: \begin{bmatrix}1 & 0 & 4 \\0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} The book says 4R3 + R1 -> R1, but doesn't make into a elementary...
  15. N

    row echelon reduction help needed

    Hello, I row reduced to the matrix depicted,(please see attached pic) but apparently its wrong ... but why?thanks.
  16. N

    row echelong reduction qusetion-for examination

    Hi After after doing row reduction on matrix[1 3; 2 2] what would you get? Im checking if method is completely misguided. Thanks.
  17. N

    urgent.-reduced row echelon form R,.....S

    Hi does anyone know how to do this question? im unsure about the theory as well.thanks. If A is a 7x5 matrix with reduced row echelon form R and B is a 4x6 matrix with reduced row echelon form S. Which of the following statements are always true. R has at least one zero row/ S has at least...
  18. I

    solve system of equations using row operations on augmented matrix

    Hey guys I really need some help on solving 2 algebra problems. The question states: Solve the system of equations using row operations on the augmented matrix. Problem 1. x+y-z=5 x+2y-3z=9 x-y+3z=3 Problem 2...
  19. F

    Solving a system using elementary row operations

    If someone could please help me with this. its a question about Solving a system using elementary row operations which is honestly one of the easiest and msot simple things to do but for the life of me I cannt understand what I am doing wrong (Headbang) I solved the system so i know what hte...
  20. T

    Unimodular Row Reduction: Systems of Linear Diff. Eq. with Constant Coefficients

    The letter D is used to denote differentiation of a function of t. x and y are both functions of t. Using unimodular row reduction, I want to solve the system: (D² – 1)x + (D² – D)y = –2 sin(t) (D² + D)x + D²y = 0 I have already reduced the system to: (D+1)x + Dy = 2sin(t) 0x + 0y = cos(t) I...