3 × 3 skew symmetric matrix given by

What is a skew-symmetric matrix?a.A matrix with all diagonal elements equal to zero.b.A matrix that is equal to the negative of its transpose.c.A matrix that is equal to its transpose.d.A matrix with all zero elements

adjoint of a 3 × 3 matrix

Let A be a 3 × 3 real symmetric matrix and have eigenvalues λ1 = 2, λ2 = λ3 = 1. The eigenvectors corresponding to λ2 = λ3 = 1 are respectively given by v2=(1,0,1), v3=(1,2.-1),Find the eigenvector of A corresponding to λ1 = 2 and the matrix A

The adjacency matrix of a graph is:A. Always symmetricB. Always skew-symmetricC. DiagonalD. Triangular

Consider a 3x3 matrix denoted by A with first row [-1  3  2], second row [0  4  1] and third row [1  2  5], and another 3x3 matrix, B, with first row [6  2  -1], second row [3  5  2] and third row [-2  -3  0]. The matrix 2A-5B is:a.First row [-3 -2 -5], second row [-1 -1 -8] and third row [2 1 0]b.First row [2 -4 0], second row [5 7 -2] and third row [1 1 0]c.First row [-32 -4 9], second row [-15 -17 -8] and third row [12 19 10]d.First row [11 -3 5], second row [-1 6 -7] and third row [1 0 -2]