Email
logo

Ask Questions, Get Answers

X
 
Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Determinants
Answer
Comment
Share
Q)

From the matrix equation $AB=AC$ we can conclude $B=C$ provided.

$\begin{array}{1 1}(A)\;\text{A is singular}\\(B)\;\text{A is non singular}\\(C)\;\text{A is symmetric}\\(D)\;\text{A is square}\end{array}$

1 Answer

Comment
A)
Now $|A|$ is non zero
$\therefore A^{-1}$ exists
As $AB=AC$
$\Rightarrow A^{-1}(AB)=A^{-1}(AC)$
$\Rightarrow B=C$
So A is non-singular.
Hence (B) is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
...