Proof a property for a 3x3 matrix

[mathodman]

Homework Statement

Let a 3 × 3 matrix A be such that for any vector of a column v ∈ R3 the vectors Av and v are orthogonal. Prove that At + A = 0, where At is the transposed matrix.

Relevant Equations

A is a zero matrix?

Let a 3 × 3 matrix A be such that for any vector of a column v ∈ R3 the vectors Av and v are orthogonal. Prove that At + A = 0, where At is the transposed matrix.

 

[berkeman]

Welcome to the PF.

At the PF, we need you to show your best efforts to work on the problem before we can offer any tutorial help. Please show your work, so we can guide your efforts. Thanks.

 

[mathodman]

Hi! i don't know maybe matrix A is like zero matrix. I guess its something easy but i just don't get it right now

 

[berkeman]

That's not enough work. Please show more, or your thread will be closed. Thank you.

 

[mathodman]

alright, i guess its not a forum for discussions, thanks anyway

 

[berkeman]

It's a forum that helps students to learn. And to learn how to learn. That's in the rules that you agreed to when you joined. If you've looking to cheat on your homework, this isn't the place for you. Thread is closed.