![i) Show that the matrix A = [ 1 | - 1 | 5 - 1 | 2 | 1 5 | 1 | 3 ] is a symmetric matrix(ii) Show that the matrix A = [ 0 | - 1 | 1 1 | 0 | - 1 - 1 | 1 | 0 ] is a skew symmetric matrix. i) Show that the matrix A = [ 1 | - 1 | 5 - 1 | 2 | 1 5 | 1 | 3 ] is a symmetric matrix(ii) Show that the matrix A = [ 0 | - 1 | 1 1 | 0 | - 1 - 1 | 1 | 0 ] is a skew symmetric matrix.](https://dwes9vv9u0550.cloudfront.net/images/11673673/91d86aa1-f711-4ea5-91a5-100a1f607566.jpg)
i) Show that the matrix A = [ 1 | - 1 | 5 - 1 | 2 | 1 5 | 1 | 3 ] is a symmetric matrix(ii) Show that the matrix A = [ 0 | - 1 | 1 1 | 0 | - 1 - 1 | 1 | 0 ] is a skew symmetric matrix.
![SOLVED: (Nilpotent matrices) A nilpotent matrix A IS square malrix with power that 1s the zero matrx That is A" = 0 for some m. Check that the following matrices are nilpotent SOLVED: (Nilpotent matrices) A nilpotent matrix A IS square malrix with power that 1s the zero matrx That is A" = 0 for some m. Check that the following matrices are nilpotent](https://cdn.numerade.com/ask_images/149b6c78414d4dbfae9c60adfa83c56c.jpg)
SOLVED: (Nilpotent matrices) A nilpotent matrix A IS square malrix with power that 1s the zero matrx That is A" = 0 for some m. Check that the following matrices are nilpotent
![SOLVED: 2. (Easy determinant) Find the determinant 2 det ; 0 5 3. (Nilpotent matrices) A nilpotent matrix A is square matrix with power that is the zero matrix That is Am SOLVED: 2. (Easy determinant) Find the determinant 2 det ; 0 5 3. (Nilpotent matrices) A nilpotent matrix A is square matrix with power that is the zero matrix That is Am](https://cdn.numerade.com/ask_images/6847268ac93f4841a8b7a4e0031d49e7.jpg)
SOLVED: 2. (Easy determinant) Find the determinant 2 det ; 0 5 3. (Nilpotent matrices) A nilpotent matrix A is square matrix with power that is the zero matrix That is Am
![how to identify a nilpotent matrix without actually squaring or cubing it - Maths - - 10944649 | Meritnation.com how to identify a nilpotent matrix without actually squaring or cubing it - Maths - - 10944649 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/ck-files/ck_588b1eef79b93.png)