If A is a square matrix such that A^2 = I where I is the identity matrix, then what is A^-1 equal to ? a.A + 1 b.Null matrix c.A d.Transpose of A

Subject:
Math
Author:
cherishgaines
Created:
1 year ago

Answers 1

Answer:

c. A

Step-by-step explanation:

Definition:

let A be a square matrix of order n. If there exists a square matrix B of order n such that AB = BA = I, then the matrix B is called the inverse of A.

According to this definition

given A^2= I

that is A.A = I also A is a square matrix.

therefore A is the inverse of A

that is A^-1 = A.

Author:

cedricixsm
Rate an answer:
7

If you know the answer add it here!

Can't find the answer?

Other related questions that may help you

He is as good as ............(i/me)

Author:

rudypnhp

Author:

blazef7bf
Rate an answer:
6

Author:

cirinopfko
Rate an answer:
8

Hcf of 392 and 462 by division method

Author:

adison

Author:

zippywkca
Rate an answer:
1

Request letter to change the class teacher to the principal

Author:

adysongolden

Answer:

Date…

The Principal,

College/University name…

Address…

Sub: Request Letter to Change Subject Teacher

Respected Sir,

I hope you are doing great in health. I am a student and CR of class (Grade or section Name). I am writing this application to you so that I can request you to please change our (Subject teacher name), as the whole class isn’t satisfied with his/her teachings. (Describe in your own words). The topics s/he teach us are very difficult and are of higher education level that we do not usually understand, and if we ask a question s/he always refuses to answer, and end the class at the very moment. (Explain the actual cause and situation).

So it is a kind request from me and my class fellows to change our (Subject teacher name) within few days so that we can continue our subject from next week, as you know the middle term is from next month and we are left with so much syllabus. (Cordially describe your requirements).

I hope you will take action on it immediately.

Thanks,

Sincerely,

Your name…

On Behalf of the students of (Grade or section Name

Explanation:

Another format :Date…

The Principal,

College/University name…

Address…

Sub: Requesting letter for Teacher Change

Respected Sir,

With great respect, it is hereby stated that we the students of (Subject and Department name, e.g., BBA), part 1 want to request your good office to change our (Subject teacher name) on urgent basis. (Describe in your own words).

The current teacher is very nice and hardworking but unfortunately, his methodology is not all that easy for us to understand. (Explain the actual cause and situation).

Please consider our request on an emergency basis to avoid further delays as the exams are nearing and we all are worried about our (Subject name). (Cordially describe your requirements).

Thank you very much.

Best Regards,