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`

Find the rank of the matrix A = [[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]]

Find the value of the determinant |[2^2, 2^3 ,2^4],[ 2^3 ,2^4 ,2^5],[ 2^4, 2^5, 2^6]| .

The value of Delta = |(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4^(2),5^(2))| , is

Without expanding, show that the value of each of the following determinants is zero: |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| (ii) |a b c a+2x b+2y c+2z x y z| (iii) |(2^x+2^(-x))^2(2^x-2^(-x))^2 1(3^x+3^(-x))^2(3^x-3^(-x))^2 1(4^x+4^(-x))^2(4^x-4^(-x))^2 1|

(x) find the value of the determinant |[1,2,5],[2,4,6],[3,6,7]|

The rank of the matrix {:[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,5)]:} , is

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

The value of |{:(2^(2),2^(3),2^(4)),(2^(3),2^(4),2^(5)),(2^(4),2^(5),2^(6)):}| is

If A={1,2,3,4,5,6) and B={2,4,5,6,8,9,10} then A DeltaB is equal to

Find the rank of the matrix [[1,2,3,0],[2,4,3,2],[3,2,1,3],[6,8,7,5]]