AAT=I means rows of 3A have norm 9 and are mutually orthogonal.
Row 3 norm: x2+4+y2=9 gives x2+y2=5.
Row 1 dot Row 3: x+4+2y=0.
Row 2 dot Row 3: 2x+2−2y=0, so y=x+1.
Solving: x=−2, y=−1, hence x+y=−3.
If 3A=12x2122−2y and AAT=I, then x+y is equal to
Held on 6 Aug 2022 · Verified 13 Jul 2026.
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−1
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−3
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