Let `A=[a_(ij)]a_(i)in Znn[0,4],1lei,jle2`.The number of matrices `A` such that the sum of all entries is a prime number `p in (2,13)` is

The number of 2 x 2 matrices A such that all entries are either 1 or 0 is

If A=[{:(5,-2,6," "1),(7," "0,8,-3),(sqrt(2)," "(3)/(5),4," "3):}] then write (i) the number of rows in A, (ii) the number of columns in A, (iii) the order of the matrix A, (iv) the number of all entries in A, (v) the elements a_(23),a_(31),a_(14),a_(33),a_(22) of A.

Let A=(a_(ij))_(3xx3) and B=(b_(ij))_(3xx3) , where b_(ij)=(a_(ij)+a_(ji))/(2) Aai, j . Number of such matrices A whose elements are selected from the set {0, 1, 2, 3} such that A=B . Are

Let A=[a_(ij)] be 3x3 matrix such that sum of trace of A^(T)A and number of elements of A is twice the sum of all the elements of matrix A

Let A = [a_(ij)], B=[b_(ij)] are two 3 × 3 matrices such that b_(ij) = lambda ^(i+j-2) a_(ij) & |B| = 81. Find |A| if lambda = 3.

Let n=P_(1)^(a_(1))*P_(2)^(a_(2))*P_(3)^(a_(3)).......P_(k)^(a^(k)) where (p_(1),p_(2)......P_(k)), are primes and a_(1),a_(2),a_(3)...a_(k)in N then number of ways in which n can be expressed as the product of two factors which are prime to one another.

If A=[a_(ij)]_(2xx3) , difined as a_(ij)=i^(2)-j+1 , then find matrix A.