Matrix formulation of an operator

[PeroK]

Sir please assist me where am I doing mistake.View attachment 278400

That's simply wrong. I can't imagine what process you're using for matrix multiplication of a vector, but it's not the right one.

 

[PeroK]

I just tried using a hermitian of R since it is behaving like a rotation matrix and I got ... is this good?View attachment 278403

You're matrix multiplication is correct, but you have the wrong idea about what a basis vector is.

 

[tanaygupta2000]

You're matrix multiplication is correct, but you have the wrong idea about what a basis vector is.

You told it is b1> = transpose(1, 0, 0, ...,)

 

[PeroK]

You told it is b1> = transpose(1, 0, 0, ...,)

Which is right. You're confusing it with the first component of a vector.

 

[PeroK]

PS The root of your problem is that you haven't mastered matrices and vectors. You have basic errors and confusions.