Im
The imaginary part function.
Syntax
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Im(x)-
xis a number, vector, or matrix
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Description
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If
xis a number,Im(x)is the imaginary part ofx. -
If
vis a vector,Im(v)is the vector of the imaginary parts ofv. -
If
Ais a matrix,Im(A)is the matrix of the imaginary parts ofA.
Typewise, Im(x) is always a real number, vector, or matrix.
Examples
Im(1 + √3⋅i)
1.73205080757 (=√3)
Im(e^(π/6⋅i))
0.5 (=1/2)
Im(❨2 + i, 3 − 2⋅i, 1 − i❩)
⎛1 ⎞ e⎜−2⎟ ⎝−1⎠
Im(❨❨5, i❩, ❨−i, −1❩❩)
⎛0 1 ⎞ ⎝−1 0 ⎠