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Question

Imaginary part of third element of the second row for the Conjugate of 3+4i42+5i1+2i2+3i3+5i2+7i95 is


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Solution

Matrix is 3+4i42+5i1+2i2+3i3+5i2+7i95 Now to get the conjugate of this matrix we need to take conjugate of every element of the matrix.

Element Conjugate

3+4i 3 – 4i

4 4

2+5i 2 – 5i

1+2i 1 – 2i

2+3i 2 – 3i

3+5i 3 – 5i

2+7i 2 – 7i

9 9

5 5

So the conjugate matrix will be 34i425i12i23i35i27i95So the third element of the second row for the matrix is 3-5i whose imaginary part is -5. So the correct answer is -5


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