If A=(a_{ij}) is a 3\times3 matrix and a_{ij}=4i+7j for 1\leqi,j\leq3,then trace of 3A=

AP ICET 2016 Paper

Question : 140 of 200

Marks: +1, -0

A=(a_{ij})

is a

3×3

matrix and

a_{ij}=4i+7j

for

1≤i,j≤3

,then trace of

3A=

Solution:

Given : A = aij is a 3 × 3 matrix

a_{ij}=4i+7j

for 1 ≤ i, j ≤ 3
Trace of 3 × 3 matrix

=a_{11}+a_{22}+a_{33}

=(4+7)+(4×2+7×2)+(4×3+7×3)

=(4+7)(1+2+3)=11×6=66

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