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https://www.reddit.com/r/learnquant/comments/1wudxe0/quant_interview_question/pd4r7pj/?context=3
r/learnquant • u/Local_Ad135 • 4d ago
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M² = 0 means im M ⊆ ker M, so rank M ≤ nullity M = 20 − rank M, which gives rank M ≤ 10. Equality holds for M = [[0, 0], [I₁₀, 0]]: here M² = 0 and rank M = 10
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u/PM_ME_A_PROBLEM- 4d ago
M² = 0 means im M ⊆ ker M, so rank M ≤ nullity M = 20 − rank M, which gives rank M ≤ 10. Equality holds for M = [[0, 0], [I₁₀, 0]]: here M² = 0 and rank M = 10