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If A = [2-35-4-61],B=[-122203]and C=[43-14-21], Show that (A + B) + C = A + (B + C)

Exercise 2.2 | Q 1.2 | Page 46

QUESTION

If A = [2-35-4-61],B=[-122203]and C=[43-14-21], Show that (A + B) + C = A + (B + C)

SOLUTION

(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).