Question

Aishwarya Rai what is the maximum determinant in an 8 by 8 matrix of Zeros and ones

Answer 1

56 is the maximum determinant in a 8 by 8 matrix of Zeros and ones.

Answer 2

The maximum determinant in an 8 by 8 matrix of Zeros and ones is 56.

• Determinants are the scalar quantities obtained by the sum of products of the elements of a square matrix and their cofactors according to a prescribed rule.
• They help to find the adjoint, inverse of a matrix. Further to solve the linear equations through the matrix inversion method we need to apply this concept. The cross-product of two vectors is remembered easily through the calculation of determinants.
• Determinants are considered as a scaling factor of matrices.
• he determinant can be denoted as det(C) or |C|, here the determinant is written by taking the grid of numbers and arranging them inside the absolute-value bars instead of using square brackets.
• For the simplest square matrix of order 1×1 matrix, which only has only one number, the determinant becomes the number itself.
• We use a method called as multiplication of arrays to multiply two determinants of square matrices.
• For square matrices of different types, when its determinant is calculated, they are calculated based on certain important properties of the determinants.
• When the square matrix B has one zero row, and thus, the determinant of this square matrix becomes zero.
• It is important  the determinant of any identity matrix is always 1.

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