Evaluate the following: ` |[1^2, 2^2, 3^2],[2^2, 3^2, 4^2],[3^2, 4^2, 5^2]| `

Evaluate the following : [[1,4,2],[5,-2,3]][[2,-4],[1,-3],[4, 0]]

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]]

Evaluate the following : [[1,2,-3],[-2,1,7]] [[2,3,1],[5,4,2],[1,6,3]]

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

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

Compute the following: [[2,-1],[3,5]] +[[4,3],[1,-2]]

Evaluate the following: ([(1,3),( -1,-4))]+[(3 ,-2 ),(-1 ,1)]) [(1 ,3,5),( 2 ,4 ,6)]

Observe the following pattern 2^2-1^2=2+1 3^2-2^2=3+2 4^2-3^2=4+3 5^2-4^2=5+4 and find the value of (I) 100^2-99^2 (ii) 111^2-109^2 (iii) 99^2-96^2

Find the mode for the following series: 2.5, 2.3, 2.2, 2.4, 2.7, 2.7, 2.5, 2.3, 2.2, 2.6, 2.2

Find the mode for the following series: 2.5, 2.3 ,2.2, 2.2, 2.4, 2.7, 2.7, 2.5, 2.3, 2.2, 2.6, 2.2