The value of the determinant `[(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2) ,(3^2, 4^2,5^2 ,6^2) ,(4^2, 5^2, 6^2, 7^2)]` is equal to `1` b. `0` c. `2` d. `3`

If the surm of the first ten terms of the series, (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+........ , is 16/5m ,then m is equal to

Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

The rank of the matrix [[2,-1,2,4],[3,1,4,-1],[5,0,6,3]] is :

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

If 2A+3B=[(2, -1, 4), (3, 2,5)] and A+2B=[(5, 0, 2), (1, 6, 2)] then B=_____.

The value of the determinant (a_1-b_1)^2(a_1- b_2)^2(a_1-b_3)^2(a_1-b_4)^2(a_2-b_1)^2(a_2-b_2)^2(a_2-b_3)^2(a_2- b_4)^2(a_3-b_1)^2(a_3-b_2)^2(a_3-b_3)^2(a_3-b_4)^2(a_4-b_1)^2(a_4-b_2)^2(a_4-b_3)^2(a_4-b_4)^2 is dependant on a_i , i=1,2,3,4 dependant on b_i , i=1,2,3,4 dependant on a_(i j), b_i i=1,2,3,4

Find the sum (1^2)/(2)+(3^2)/(2^2)+(5^2)/(2^3)+(7^2)/(2^4)+….oo