Let . Construct a 4 × 2 matrix D using only 1 and 0 as

Chapter 2, Problem 38E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let \(A=\left[\begin{array}{llll}1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1\end{array}\right]\). Construct a \(4 \times 2\) matrix D using only 1 and 0 as entries, such that \(A D=I_{2}\). Is it possible that \(C A=I_{4}\) for some \(4 \times 2\) matrix C? Why or why not?

Questions & Answers

QUESTION:

Let \(A=\left[\begin{array}{llll}1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1\end{array}\right]\). Construct a \(4 \times 2\) matrix D using only 1 and 0 as entries, such that \(A D=I_{2}\). Is it possible that \(C A=I_{4}\) for some \(4 \times 2\) matrix C? Why or why not?

ANSWER:

Solution:-

Step1

Given that

Let .

Step2

To find

 Construct a 4 × 2 matrix D using only 1 and 0 as entries, such that AD = I2. Is it possible that CA = I4 for some 4 × 2 matrix C? Why or why not?

Step3

We have

A=

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back