Another matrix calculated with DNG4PS for SX120IS with the colour card you provided and your indications
Camera -> XYZ matrix:
2,119331 0,756036 0,728705
0,328100 2,724260 -0,433730
-0,311140 -1,065713 6,094267
XYZ -> Camera matrix:
0,486743 -0,162369 -0,069757
-0,056231 0,396342 0,034931
0,015017 0,061019 0,166636