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Problem: A=[[10,-9,-12],[7,-12,11],[-10,10,3]], |A^2| [ Calculator, Method and examples ]

Solution:
Your problem -> A=[[10,-9,-12],[7,-12,11],[-10,10,3]], |A^2|

A^2=A×A=
 10 -9 -12 7 -12 11 -10 10 3
×
 10 -9 -12 7 -12 11 -10 10 3

=
 10×10-9×7-12×-10 10×-9-9×-12-12×10 10×-12-9×11-12×3 7×10-12×7+11×-10 7×-9-12×-12+11×10 7×-12-12×11+11×3 -10×10+10×7+3×-10 -10×-9+10×-12+3×10 -10×-12+10×11+3×3

=
 100-63+120 -90+108-120 -120-99-36 70-84-110 -63+144+110 -84-132+33 -100+70-30 90-120+30 120+110+9

=
 157 -102 -255 -124 191 -183 -60 0 239

A^2 =
 10 -9 -12 7 -12 11 -10 10 3
2
=
 157 -102 -255 -124 191 -183 -60 0 239

|A^2| =
 157 -102 -255 -124 191 -183 -60 0 239

=
157 ×
 191 -183 0 239
+102 ×
 -124 -183 -60 239
-255 ×
 -124 191 -60 0

=157 xx (191 × 239 - (-183) × 0) +102 xx (-124 × 239 - (-183) × (-60)) -255 xx (-124 × 0 - 191 × (-60))

=157 xx (45649 +0) +102 xx (-29636 -10980) -255 xx (0 +11460)

=157 xx (45649) +102 xx (-40616) -255 xx (11460)

= 7166893 -4142832 -2922300

=101761

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