# Can The Product Of Two Non-Zero Matrices Be Zero

Can The Product Of Two Non-Zero Matrices Be Zero. Click here👆to get an answer to your question ️ consider the following statements:1. As thomas points out, your proof is fine, but if you. give an example of two non zero 2×2 matrices a and b such that ab 0 from www.topperlearning.com

Tour start here for a quick overview of the site help center detailed answers to any questions you might have meta discuss the workings and policies of this site However, the zero product property cannot be. We give a counterexample of it.

### Click Here👆To Get An Answer To Your Question ️ Consider The Following Statements:1.

We give a counterexample of it. In the case that this inner product is zero, you know that the two objects. Tour start here for a quick overview of the site help center detailed answers to any questions you might have meta discuss the workings and policies of this site

### Linear Algebra In The Textbook Contemporary Linear Algebra By Anton And Busby, There Was A.

If the matrix product ab is the zero matrix, is ba zero as well? I've proven that this is impossible for 2×2 matrices. No, based upon the definition of multiplication, the only way to have a product of zero is if one of the factors are zero.

### As Thomas Points Out, Your Proof Is Fine, But If You.

Dm02prove that if product of two nonzero matrix matrices in zero matrix then they are singular matrices ( matrix )this video is uploaded byalpha academy, u. About press copyright contact us creators advertise developers terms privacy policy & safety how youtube works test new features press copyright contact us creators. We can say, for two real numbers, say x and y, if xy = 0, then either x = 0 or y = 0.

### I’m Going To Interpret Your Question As Asking When And Why The Matrix Equation Is A\Vec X = \Vec 0 (Hearby Referred To As The Homogeneous Equation) Is True.

Taking the inner product of two matrices (or vectors) results in a numeric (scalar, number) value. However, the zero product property cannot be. As a result, the answers are x = 1 and x = 5.