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SamMcCrae
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How can I turn a 5x5 matrix into a 4x4? I really cannot remember and I need to do it in a coursework I am doing :/ I have a handout on how to do 4x4 into 3x3 but the handout is very confusing.
How can I turn a 5x5 matrix into a 4x4?
Well I don't quite want the determinant yet, I want to make it into a 4x4 now so I can see that it matches up with another 4x4 I've created by a different method (Well that's what I'm ment to do). But I will want the determinant eventually :PStudiot said:Do you mean find the determinant of a 5x5 matrix by expanding it to 4x4 then 3x3 etc?
micromass said:Do you mean that you're given a 5x5-matrix and a 4x4-matrix and you want to find out whether they have the same determinant?? Is that what you want to solve?
SamMcCrae said:I have a 4x4, and a 5x5, I want to make the 5x5 into a 4x4 so that they are both 4x4 and I can verify that they are the same. Determinant will be done later.
micromass said:I'm sorry but this makes no sense. What do you mean with "make a 5x5 into a 4x4"??
How can a 5x5-matrix be the same as a 4x4-matrix?? They are not the same by definition.
Can you give an example of what exactly you mean??
SamMcCrae said:I was given a method of how to turn a 4x4 into a 3x3 so it is easy to solve which involves moving stuff about and multiplying things. I'll go take a picture of the notes in a minute. We have all to turn a 5x5 into an equivalent 4x4 but I don't totally understand how to.
Number Nine said:I think you've misunderstood either what you're doing or what the question is asking for. You don't "solve" a matrix; a matrix just represents a transformation. You can "solve" an equation for the determinant of a matrix through cofactor expansion, which might be what you're talking about. You can't "turn a 5x5 matrix into a 4x4 matrix"; they don't even operate on the same sets.
Studiot said:Why did you not post this as an engineering question where it might have been more quickly recognised?
Matrices are mathematical structures consisting of rows and columns of numbers or variables. They are commonly used in linear algebra to represent systems of equations and transformations.
To add or subtract matrices, the matrices must have the same dimensions. To multiply matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. To find the inverse of a matrix, use Gaussian elimination or row reduction.
Matrices have many applications in real life, including in computer graphics, economics, physics, and engineering. They are used to model and solve complex systems and to represent data in a structured way.
Two matrices are equal if they have the same dimensions and all corresponding elements are equal. In other words, if the matrices have the same number of rows and columns and the corresponding elements in each position are equal.
No, basic operations such as addition, subtraction, and multiplication can only be performed on matrices with the same dimensions. However, there are techniques such as padding or truncating matrices that can be used to make them compatible for operations.