If the entries in a `3xx3` determinant are either 0 or 1, then the greatest value of their determinants is

If two rows (or two columns ) of a determinant are identical , then the value of the determinant is

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability (1)/(2) )

Let P be a matrix of order 3 x 3 such that all the entries in P are from the set {-1,0,1} . Then, the maximum possible value of the determinant of P is _____

Evaluate : |{:(a,b,0),(c,0,a),(0,c,b):}| . Express the square of this determinant as a third order determinant. What is the value of this determinant ?

if a determinant of order 3xx 3 is formed by using the numbers 1 or -1 then the minimum values of the determinant is

A determinant is chosen at random from the set of the determinants of order 2 with element 0 or 1 only. Find the probability that the determinant chosen is non-zero.

Find the value of determinant : |(5,4),(3,-1)|

Find the value of determinant : |(8,3),(5,-1)|

Find the value of determinant : |(6,7),(-1,2)|

Find the value of determinant : |(a,b),(a,-b)|