(a) (b) Show that A square matrix A is called idempotent if A = A. Is...

 

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(a) (b) Show that A square matrix A is called idempotent if A² = A. Is idempotent. Let A be a 3 x 3 idempotent matrix and I the 3 x 3 identity matrix. Show that matrix I-A is idempotent, ie. (I-A)² = I-A. (a) (b) Show that A square matrix A is called idempotent if A² = A. Is idempotent. Let A be a 3 x 3 idempotent matrix and I the 3 x 3 identity matrix. Show that matrix I-A is idempotent, ie. (I-A)² = I-A.

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a To show that matrix A is idempotent we need to prove that A2 A Lets multiply A by itself A2 A A Si... View the full answer