Give examples of matrices
A and B such that AB = O but BA ≠ O.
We need to find matrices A and B such that AB = O but BA ≠ O.
Let
and
.
First, we will find AB.
Now, we will find BA.
Thus, AB = O and BA ≠ O when
and
.
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Give examples of matrices
A and B such that AB = O but BA ≠ O.
We need to find matrices A and B such that AB = O but BA ≠ O.
Let and.
First, we will find AB.
Now, we will find BA.
Thus, AB = O and BA ≠ O when and.