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A determinant is defined for square matrices only.
To find the determinant of the matrix you need to:
- find all n-tuples of elements of the matrix such that each row and each column of the matrix is represented.
- calculate the product of the elements.
- calculate the sign for that term. To see how this is done, see below.
- calculate the sum of the signed products: that is the determinant.
To calculate the sign for the product of the n-tuple, arrange the elements in row order. Swap the elements, two at a time, to get them in column order. If the number of swaps required is even then the product is assigned a positive sign, and if odd then a negative sign.
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What is the determinant of a 2x3 matrix?
The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.
What is the determinant of matrix image?
1
What is the determinant of an idempotent matrix?
0 or 1
Does doing row operations on a matrix change its determinant?
No.
What is meant by the determinant of a math equation?
A single math equation does not have a determinant. A system of equations (3x3 , 4x4, etc.) will have a determinant. You can find a determinant of a system by converting the system into a corresponding matrix and finding its determinant.
