Education and Worksheets
Exercise 2.2 | Q 1.2 | Page 46
If A = [2-35-4-61],B=[-122203]and C=[43-14-21], Show that (A + B) + C = A + (B + C)
(A + B) + C = {2-35-4-61]+[-122203]}+[43-14-21]
= [2-1-3+25+2-4+2-6+01+3]+[43-14-21]
= [1-17-2-64]+[43-14-21]
= [1+4-1+37-1-2+4-6-24+1]
∴ (A+ B) + C = [5262-85] ....(i)
A + (B + C) = [2-35-4-61]+{[-12220]+[43-14-21]}
= [2-35-4-61]+[-1+42+32-12+40-23+1]
= [2-35-4-61][3516-24]
= [2+3-3+55+1-4+6-6-21+4]
= [5262-85] ....(ii)
From (i) and (ii), we get(A + B) + C = A + (B + C).