Question

what is the maximum determinant in an 8 by 8 matrix of zeros and ones

Options: 56,40,64,48​

Answer 1

Answer:

65

Explanation:

64 is the correct option hai

Answer 2

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

• In mathematics, determinants are scaler value that is a function of the entries of a square matrix. Determinants and matrices present in linear algebra, are used to solve linear equations by using the Cramer's rule to a set of non-homogeneous equations which are in linear form.
• Determinants are calculated for square matrixes only if the determinant of a matrix is zero it is referred to as a singular determinant.
• Matrics are the ordered rectangular array of numbers, which are used to express linear equations they contain rows and columns.
• We can also mathematical operations like addition, subtraction, multiplication and division as well. In a matrix, if the number of rows is m and the number of columns is n then the matrix is represented by m×n.
• For the simplest square matrix of order 1×1 matrix, which only has only one number, the determinant becomes the number itself. Generally, we utilise the method of multiplication of arrays to multiply two determinants of square matrices.
• In the case of the simplest square matrix of 1×1, the determinant becomes 1 itself.
• When a square matrix has a row of zero the determinant of the matrix becomes zero.

Thus, the maximum determinant in an 8 by 8 matrix of zeros and ones is 56

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