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Question
Question 87
Complete the following table by finding the sums.
Question 87
Complete the following table by finding the sums.
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Solution
Let the missing values be a, b, c, d, e, f, g, and h respectively in the mentioned order.
Such that a is the sum of respective values of row and column number.
Here, a=23+(−19)=23−19=2×33×3−1×19×1=69−19=6−19=59
b=23+411=2×113×11+4×311×3=2233+1233=22+1233=3433
c=23+(−56)=23−56=2×23×3−5×16×1=46−56=4−56=−16
d=−54+(−19)=−54−19=−5×94×9−1×49×4=−4536−436=−45−436=−4936
e=−54+(−56)=−54−56=−5×34×3−5×26×2=−1512−1012=−15−1012=−2512
f=−13+(−19)=−13−19=−1×33×3−1×19×1=−39−19=−3−19=−49
g=−13+411=−1×113×11+4×311×3=−1133+1233=−11+1233=133
h=−13+(−56)=−13−56=−1×23×2−5×16×1=−26−56=−2−56=−76
Hence, the complete table is
Let the missing values be a, b, c, d, e, f, g, and h respectively in the mentioned order.
Such that a is the sum of respective values of row and column number.
Here, a=23+(−19)=23−19=2×33×3−1×19×1=69−19=6−19=59
b=23+411=2×113×11+4×311×3=2233+1233=22+1233=3433
c=23+(−56)=23−56=2×23×3−5×16×1=46−56=4−56=−16
d=−54+(−19)=−54−19=−5×94×9−1×49×4=−4536−436=−45−436=−4936
e=−54+(−56)=−54−56=−5×34×3−5×26×2=−1512−1012=−15−1012=−2512
f=−13+(−19)=−13−19=−1×33×3−1×19×1=−39−19=−3−19=−49
g=−13+411=−1×113×11+4×311×3=−1133+1233=−11+1233=133
h=−13+(−56)=−13−56=−1×23×2−5×16×1=−26−56=−2−56=−76
Hence, the complete table is
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