Noun
matrix (plural matrices)- The womb. The concept of an enclosure is common to many of the other uses of matrix.
- The material or tissue in which more specialized structures are embedded.
- An extracellular matrix.
- Part of the mitochondrion.
- The medium in which bacteria are cultured.
- A rectangular arrangement of numbers or terms having various uses such as transforming coordinates in geometry, solving systems of linear equations in linear algebra and representing graphs in graph theory.
Read full definition at wiktionary.org
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...Matrix may refer to:
Science and mathematics
- Matrix , a mathematical object generally represented as an array of numbers
- Matrix calculus, a notation for calculus operations on matrix spaces
- Identity matrix
- Similarity matrix, which scores the similarity between two data points
- A number of bioinformatical matrices, including:
- Position-specific scoring matrix, which represents a pattern or motif in biological sequences
- Substitution matrix, which estimates the rate at which each possible residue in a biological sequence changes to each other residue over time
- PAM matrix, or Point Accepted Mutation matrix, used in scoring sequence alignments
- BLOSUM (BLOcks of Amino Acid SUbstitution Matrix), also used in scoring sequence alignments
- Matrix , with numerous meanings, often referring to a biological material where specialized structures are formed or embedded
- Extracellular matrix, any material part of a tissue that is not part of any cell
- Mitochondrial matrix, the inner part of a mitochondrion, where the Krebs cycle takes place
- Osteon or bone matrix, a form of connective tissue found in bone
- Nuclear matrix, an insoluble fraction of the cell nucleus
- Germinal matrix, an embryonic brain tissue
- Matrix, another term for a bacterial growth medium
- Matrix , the soil or sediment surrounding a dig site
- Harris matrix, an archaeological tool used to describe sediment deposition over time
- Matrix , the discarded portion of a sample used for chemical analysis
- Matrix , the fine grains between larger grains in igneous or sedimentary rocks
- Matrix isolation, a continuous solid phase in which particles (precipitates, etc.) are embedded
- Metal matrix composite, a type of composite material Read full entry
This entry is from Wikipedia,the leading user-contributed encyclopedia.It may not have been reviewed by professional editors(See full disclaimer)


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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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the product really is worth the money, i love the matrix sleek look line. |
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What are the dimensions of the 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!
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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. |
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How do I express a matrix as a 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?
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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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