Exponentiation and Matrix Inverse Operator
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Operator
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Keyboard Shortcut
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|---|---|
 |
^
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Operands
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x
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y
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Description
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Scalar
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Scalar
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Returns x raised to the power y.
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Vector
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Returns a vector of the same size as y, whose ith entry is x raised to the power yi.
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Vector
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Scalar
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Returns a vector of the same size as x, whose ith entry is xi raised to the power y.
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Square matrix
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0
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Returns the identity matrix whose dimensions match those of x.
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−1
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Returns the inverse of x, if it exists.
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Positive
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Returns x multiplied by itself y times. y must be an integer or a rational number that is a multiple of 1/60.
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Negative
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Returns the inverse of x multiplied by itself y times. y must be an integer or a rational number that is a multiple of 1/60.
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Additional Information
• When the argument x is e, a different, more accurate algorithm is used, which suffers less from roundoff errors in the case of very large or small exponents.
• To apply the exponential operator to each element of an array individually, select the expression and insert the vectorize operator.