Anyone know a good site that explains matrices, no solutions, infite, etc?

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In summary, the conversation discusses the concept of solving a system of equations using matrices and the determinant of the coefficient matrix. The conversation also touches on the concept of rank and its relationship to the determinant. The participants share their understanding of these concepts and look for resources to help them better understand the topic.
  • #1
mr_coffee
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Hello everyone, Anyone know any good tutorials that can explain to me how i can perform the following:
http://img499.imageshack.us/img499/9744/lastscan1jb.jpg
I know the basic jist of it, like all 000's in a row means infite, and that's about it :eek:
 
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  • #2
Start with the Ax part. What does Ax mean, can you describe?
 
  • #3
mr_coffee said:
I know the basic jist of it, like all 000's in a row means infite, and that's about it :eek:
Can you find a link with the determinant of the coefficient matrix?
 
  • #4
Well A is a matrix and x = <x,y,z> if its a 3x3; when b is the value of the matrix. TD, i found lots of homework problems but no solutions :(
 
  • #5
Have you seen the concept 'rank'? If the rank of the coefficient matrix is equal to the rank of the augemented matrix, then the system Ax = B has solutions.

Link with the determinant: if det(A) = 0 and A is an n x n matrix, then rank(A) < n, or: A is a singular matrix. If det(A) =! 0, then A is a regular matrix and its rank is n.
 

FAQ: Anyone know a good site that explains matrices, no solutions, infite, etc?

What are matrices?

Matrices are rectangular arrays of numbers, symbols, or expressions arranged in rows and columns. They are commonly used in mathematics, computer science, and physics to represent linear transformations and systems of equations.

How are matrices used in real life?

Matrices have many practical applications, such as in computer graphics, financial modeling, and data analysis. They are also used in engineering to solve problems related to electricity, mechanics, and fluid dynamics.

What does it mean for a matrix to have no solutions?

A matrix has no solutions when the system of equations it represents cannot be solved. This can happen when the equations are inconsistent, meaning they have no common solution, or when there are more unknown variables than equations.

What is an infinite matrix?

An infinite matrix is a matrix with an infinite number of rows and/or columns. These types of matrices are often used in mathematical proofs and theoretical applications, but they cannot be physically represented or stored in a computer.

Can you recommend a good site for learning about matrices?

Sure, there are many great websites that explain matrices in detail. Some popular options include Khan Academy, Math is Fun, and Math Goodies. It's always a good idea to do some research and find a site that best fits your learning style and level of understanding.

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