Solution Found!
Let . Construct a 4 × 2 matrix D using only 1 and 0 as
Chapter 2, Problem 38E(choose chapter or problem)
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=