Ideally if we are writing everything in reverse order then the coefficient of that should also come in the end.
Here why have we put 1 for the constant in the end of the new second transformation matrix?
Hi @sakshi_singhal,
We can’t put the coefficient at the end.
because if put the coefficient at end then,
L.H.S = 4*f(i-4) + 0*f(i-3) + 2*f(i-2) + 1*f(i-1) + 1*d
R.H.S = d
L.H.S != R.H.S
How RHS would be d? LHS is ok.
Hi @sakshi_singhal,
This is your matrix A,

matrix B,

If you observe, last row of matrix B has d.
that’s why R.H.S = d
Still unable to get you
You can put coefficients at the end if in the resultant matrix f(i) and d are placed like this.

yes so what is wrong in this?
ok, got it, thanks for it
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