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Matrices

Question
CBSEENMA12035660

Write the element straight a subscript 12 of the matrix straight A space equals space open square brackets straight a subscript ij close square brackets subscript 2 cross times 2 end subscript comma whose elements straight a subscript ij are given by aij space equals space straight e to the power of 2 ix end exponent space sin space jx.

Solution

 Given space that space of space straight a subscript ij space equals space straight e to the power of 2 ix end exponent sin left parenthesis jx right parenthesis
Substitute space straight i space equals space 1 space and space straight j space equals space 2
Thus comma space straight a subscript 12 space equals straight e to the power of 2 cross times 1 cross times straight x end exponent space sin left parenthesis 2 cross times straight x right parenthesis space equals space straight e to the power of 2 straight x end exponent sin left parenthesis 2 straight x right parenthesis