Infrared absorption spectra of ${\left(\mathrm{H}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ and ${\left(\mathrm{D}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ in solid argon, krypton, and xenon matrices have been measured and each fundamental band has been assigned. Spectra in Ar and Kr matrices showed notable splitting in contrast to those in Xe, which suggests a difference in structure of the trapping sites. A comparison with the reported jet-cooled spectra has shown that vibrational structures of the spectra of ${\left(\mathrm{H}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ and ${\left(\mathrm{D}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ in the $\mathrm{O}\mathrm{H}$ stretching region are preserved in the matrices. On the other hand, the $\mathrm{C}\mathrm{O}$ stretching band of ${\left(\mathrm{H}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ shows a drastic change upon matrix isolation, wherein the Fermi-triad feature observed in gas phase [F. Ito, Chem. Phys. Lett. 447, 202 (2007)] could not be identified. No substantial change of the vibrational structure has been found for matrix-isolated ${\left(\mathrm{D}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ . The differences of the vibrational structures in the matrix-isolation spectra and in the jet-cooled spectra have been qualitatively accounted for using the idea of anharmonic couplings among “matrix-shifted harmonic states.”