Consider the following matrix [3 A= 10 Lo 6 0 o -81 6 2 i. Find...

 

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Consider the following matrix [3 A= 10 Lo 6 0 o -81 6 2 i. Find Eigen values and Eigen vectors of the following matrix. ii. Find basis and dimension of each eigen space of A. iii. If possible, find a non-singular matrix M which diagonalize A. iv. Show that whether A is orthogonally diagonalizable or not. (b) With the help of gram Schmidt Process. Find the orthonormal basis of R³ Where ₁ (0,1,1), u₂ = (0,1,−1), u3 = = (2,4, -3) are given as basis vectors of R³. Consider the following matrix [3 A= 10 Lo 6 0 o -81 6 2 i. Find Eigen values and Eigen vectors of the following matrix. ii. Find basis and dimension of each eigen space of A. iii. If possible, find a non-singular matrix M which diagonalize A. iv. Show that whether A is orthogonally diagonalizable or not. (b) With the help of gram Schmidt Process. Find the orthonormal basis of R³ Where ₁ (0,1,1), u₂ = (0,1,−1), u3 = = (2,4, -3) are given as basis vectors of R³.