I have problem to calculate adjoint of haar wavelet transforme

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hello, I have problem to calculate adjoint of haar wavelet transforme, if I calculate haar wavelat give me M matrix, then I calculat det(M)*inv(M), it give me black image (with infinity values), the code matlab is
[cA11,cH11,cV11,cD11] = dwt2(AU,'haar');%AU original image wav1=[cA11,cH11;cV11,cD11]; adjwav1=det(wav1)*inv(wav1);%%adjwav1 is black image.
help me please

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