What is the sum of the diagonal elements of the following square matrix? `[(1, 0, 1),(0, 1,2),(3, 1,-2)]`.

Find the coordinates of the centroids of the triangles formed by the following points:(ii)(1,0),(0,2),(-1,-2)

Find the sum of first n term of the following series 1+(1+3)+(1+3+3^2)+ ….

Find the sum of first n term of the following series 1+(1+2)+(1+2+2^2)+ …..

Find the sum of first n terms of the following 1+(1+2)+(1+2+3)+….

Which.of the following relations are functions? f= {(1, 0), (1, 1), (2,1)}

If A = [(0, 0, 1),(0, 1, 0),(1, 0, 0)] find A^2 .

Find the adjoint of the matrices : [(1,-1,2),(3,0,-2),(1,4,8)]

Find the roots of the following equations: 2/3x^2-1/3x-1=0

Find the inverse of the matrix A, if A=[(3,-2,3),(2,1,-1),(4,-3,2)]