The conjugate of the matrix [ i 1+i 3−2i ]
The conjugate of the matrix
[ i 1+i 3−2i ]
[ 4 2−i −3i ]
[ 1−i 2i 5 ]
is ________.
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Correct answer: (C) [ −i 1−i 3+2i ] [ 4 2+i 3i ] [ 1+i −2i 5 ]
Explanation
The conjugate replaces every i by -i in each element: i becomes -i, 1+i becomes 1-i, 3-2i becomes 3+2i, 2-i becomes 2+i, -3i becomes 3i, 1-i becomes 1+i and 2i becomes -2i. Real entries 4 and 5 stay the same.