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Question

Let A = -1   1-1   3-3   3   5   5   5 and B =    0   4   3   1-3-3-1   4   4, compute A2B2.


Solution

Given: A=-11-13-33555Now,A2=AAA2=-11-13-33555-11-13-33555A2=1+3-5-1-3-51+3-5-3-9+153+9+15-3-9+15-5+15+255-15+25-5+15+25A2=-1-9-13273351535B2=BBB2=0431-3-3-1440431-3-3-144B2=0+4-30-12+120-12+120-3+34+9-123+9-120+4-4-4-12+16-3-12+16B2=100010001A2-B2A2-B2=-1-9-13273351535-100010001A2-B2=-1-1-9-0-1-03-027-13-035-015-035-1A2-B2=-2-9-13263351534

Mathematics
RD Sharma XII Vol 1 (2015)
Standard XII

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