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BionicBiceps
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I'm looking for a determinant formula for a 10 by 10 matrices in variable format.
BionicBiceps said:I just need the basic formula for any 10x10 matrices
Robert1986 said:Not that I am aware of. But, I ask again, WHY do you need to know this? Let me guess, your Diff. Eq. prof promised you an A if you could give him a formula for the det of a 10x10 matrix. Is that right?
BionicBiceps said:There has to be an easier way through a computer program.
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is commonly used in mathematics, physics, and engineering to represent data and perform operations such as addition, subtraction, and multiplication.
A 10 by 10 matrix is represented as a rectangular array with 10 rows and 10 columns. The elements of the matrix are written in a specific order, such as row by row or column by column.
The formula for adding two 10 by 10 matrices is to add the corresponding elements in each matrix. This means adding the top left element in the first matrix to the top left element in the second matrix, and so on. The result will be a 10 by 10 matrix with the sum of the two matrices.
The formula for multiplying a 10 by 10 matrix by a scalar (a single number) is to multiply each element in the matrix by the scalar. The result will be a 10 by 10 matrix with every element multiplied by the scalar value.
The determinant of a 10 by 10 matrix can be calculated using the Laplace expansion method, which involves finding the determinant of smaller submatrices within the 10 by 10 matrix. This method can be time-consuming, so it is often more practical to use a computer program or calculator to find the determinant.