Yulia

2021-03-02

Zero Divisors If a and b are real or complex numbers such thal ab = O. then either a = 0 or b = 0. Does this property hold for matrices? That is, if A and Bare n x n matrices such that AB = 0. is il true lhat we must have A = 0 or B = 0? Prove lhe resull or find a counterexample.

casincal

Skilled2021-03-03Added 82 answers

Given: "If a and b are real or complex numbers such thal ab = 0. then either a = 0 or b = 0"

No, the above property does not hold for matrices.

That is, if A and B are

Step 2

Counter example:

Take

Jeffrey Jordon

Expert2022-01-22Added 2575 answers

Answer is given below (on video)