Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

(a) (b) Show that A square matrix A is called idempotent if A = A. Is idempotent. Let A be a 3 x 3

image text in transcribed 


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

Step by Step Solution

There are 3 Steps involved in it

Step: 1

a To show that matrix A is idempotent we need to prove that A2 A Lets multiply A by itself A2 A A Si... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra With Applications

Authors: W. Keith Nicholson

7th Edition

978-0070985100, 70985103

More Books

Students also viewed these Finance questions

Question

If A denotes an m n matrix, show that A = - A if and only if A = 0.

Answered: 1 week ago