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प्रश्न
Construct a 2 × 2 matrix whose elements aij are given by:
`a_(ij)=e^(2ix) sin (xj)`
उत्तर
`a_(ij)=e^(2ix) sin (xj)`
Here,
`a_11=e^(2xx1xxx)sin(x xx1)= e^(2x) sin(x), a_12= e^(2xx1xxx) sin (x xx 2)= e^(2x) sin (2x)`
`a_21= e^(2 xx 2xx x)sin (x xx 1)= e^(4x) sin (x) , a_22 = e^(2 xx 2xx x) sin (x xx 2)= 6^(4x)sin (2x)`
So, the required matrix is `[[e^(2x)sin (x) e^(2x)sin (2x)],[e^(4x)sin (x) e^(4x)sin (2x)]]`
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