Wavelet and Linear Algebra

Abstract     Trace and some other interesting properties of Haar wavelets matrix of size $2^K$ are studied by Shiralashetti and Kumbinarasaiah \cite{ref6}, results related to the trace of Haar wavelets  matrix derived based on $K$ is even or odd and the same is concluded in Theorem $3.2$. This article deals with the trace of Haar wavelets matrix in depth by identifying and overcoming the pitfalls occur in the proof of Theorem 3.2.