Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

Write the element a12 of the matrix A = [aij]2 × 2, whose elements aij are given by aij = e2ix sin jx. - Mathematics

Write the element a12 of the matrix A = [aij]2 × 2, whose elements aij are given by aij = e2ix sin jx.

Solution

Given that of aij = e2ix sin jx.

Substitute i = 1 and j = 2

Thus a_12=e^(2xx1xxx) sin(2xx x)=e^(2x)sin(2x)

Concept: Introduction of Operations on Matrices
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