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###### Deepak Patra posted an Question
December 03, 2021 • 19:35 pm 30 points
• IIT JAM
• Mathematics (MA)

# Q.1 let a be a 3 x 4 matrix and b be a 4 x 3 matrix with real entries such that ab is non-singular. consider the following statements: p: nullity of a is 0. q:

Q.1 Let A be a 3 x 4 matrix and B be a 4 x 3 matrix with real entries such that AB is non-singular. Consider the following statements: P: Nullity of A is 0. Q: BA is a non-singular matrix. Then (A) | both P and Q are TRUE (B) Pis TRUE and Q is FALSE (C)Pis FALSE and Q is TRUE (D)both P and Q are FALSE

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• ##### Deepak singh 1

Refer attachment

i think something wrong in your solution.. coz ans does not match

let me check

according to me option d should be correct , if you have any explanation then please share .

• ##### Deepak patra

this attachment

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