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  • 1.
    Matrix Essentials, Inc.
  • Matrix, a professional hair care and hair color company, is a part of L'Oreal USA's Professional Products Division.
  • http://www.matrix.com/
  • 2.
    The Matrix
  • ... site for the movie series, featuring trailers, DVD info, games, screen savers, and behind-the-scenes information for all three films: The Matrix, The Matrix ...
  • http://whatisthematrix.warnerbros.com/
Questions/Answers
matrix?!?!?!?!?
ive herd of matrix sleek look and people say it workz reely well. i realy dont want to pay 20 bucks for freakin shampoo. arent there any other good products that are cheaper that work just as well?
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    Hair
the product really is worth the money, i love the matrix sleek look line.
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    Hair
What are the dimensions of theresulting matrix found bymultiplying a 2 by 3 matrixand a 4 by 2 matrix?
What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix? 2 by 2 3 by 4 2 by 4 this is not possible thanks!
2×3 by 4×2 is not possible Let A = n×m Let B = m×p A·B = n×p The inner dimension must be the same.
How do I express a matrix as aproduct of elementary matricesby reducing it to reducedechelon form?
The matrix A is 1 3 4 10 And i you can get reduced echelon form as follows: 1 3 4 10 R2: R2 - 4R1 which gives 1 3 0 -2 R2: -0.5R2 which gives 1 3 0 1 which is reduced echelon form. But how do you get the product of the matrix A from this?
Every time you do an elementary row operation, you are actually multiplying the original matrix by a corresponding elementary matrix! To create an elementary matrix given the row operation, you just act on the appropriately sized identity matrix (in this case, 2 by 2) in the same way. For your example, applying R2: R2 - 4R1 to 1 0 gives 0 1 1 0 -4 1. This last matrix is the corresponding elem. matrix to your row operation. Call this E1 Likewise, applying R2: -0.5R2 to 1 0 gives 0 1 1 0 0 -.5 We'll call this E2. So, your reduced echelon matrix should be equal to (E2)(E1)(A). Note the order of the elementary matrices is multiplied by A to its left in reverse order! Double check (multiplying left to right): 1 0 * 1 0 * 1 3 0 -.5 * -4 1 * 4 10 equals 1 0 * 1 3 2 -.5 * 4 10 equals 1 3 0 1 as required!
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