What is the trace of a matrix?a.The sum of all elements.b.The product of the diagonal elements.c.The difference of the diagonal elements.d.The sum of the diagonal elements

What is the trace of a matrix? Calculate the trace of a 3x3 identity matrix

Let R=⎛⎝x000y000z⎞⎠ be a non-zero 3×3 matrix, where xsinθ=ysin(θ+2π3)=zsin(θ+4π3) ≠0,θ∈(0,2π). For a square matrix M, let trace (M) denote the sum of all the diagonal entries of M. Then, among the statements:(I) Trace (R)=0(II) If trace (adj(adj(R))=0, then R has exactly one non-zero entry.

Write a program to obtain a matrix and find the sum of its diagonal elements.Note: Only square matrix.Input format :The input consists of the number of rows and columns separated by a space.The second line of the input is matrix elements.Output format :The output prints the sum of diagonal elements.Refer to the sample input and output for format specifications.Sample test cases :Input 1 :3 31 2 34 5 67 8 9Output 1 :15Input 2 :4 412 23 45 5678 89 98 8765 54 32 2114 25 36 58Output 2 :191

What is the main diagonal of a matrix?a.The elements from the top left to the bottom rightb.The elements from the edges to the middlec.The elements from the middle to the edgesd.The elements from the top right to the bottom left

For a given 2D square matrix of size N*N, the task is to find the sum of elements in the Principal and Secondary diagonals. For example, analyze the following 4 × 4 input matrix.a00 a01 a02 a03a10 a11 a12 a13a20 a21 a22 a23a30 a31 a32 a33Example:Input 1 :  6 7 3 4                   8 9 2 1                  1 2 9 6                 6 5 7 2Output 1 : Principal Diagonal: 26                     Secondary Diagonal: 14Intuition:1. The principal diagonal is constituted by the elements a00, a11, a22, a33, and the row-column condition for the principal diagonal is: row = column2. However, the secondary diagonal is constituted by the elements a03, a12, a21, a30, and the row-column condition for the Secondary diagonal is: row + column = N – 1