![SOLVED: Let A be an n X n matrix such that A4 = 0. 13 Is A invertible? Justify your answer ji) Prove that I+A is invertible. Hint: Consider the matrix I-A+A?A3. SOLVED: Let A be an n X n matrix such that A4 = 0. 13 Is A invertible? Justify your answer ji) Prove that I+A is invertible. Hint: Consider the matrix I-A+A?A3.](https://cdn.numerade.com/ask_images/ad308fec733f4973b7f12e8c95c7b03a.jpg)
SOLVED: Let A be an n X n matrix such that A4 = 0. 13 Is A invertible? Justify your answer ji) Prove that I+A is invertible. Hint: Consider the matrix I-A+A?A3.
![linear algebra - Why is the matrix with a zero on the right diagonal non- invertible? - Mathematics Stack Exchange linear algebra - Why is the matrix with a zero on the right diagonal non- invertible? - Mathematics Stack Exchange](https://i.stack.imgur.com/hZ1Ck.png)
linear algebra - Why is the matrix with a zero on the right diagonal non- invertible? - Mathematics Stack Exchange
![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)