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# What Is a Singular Matrix?

**A singular matrix, also called degenerate matrix, is a square matrix whose determinant is zero and that doesn't have a matrix inverse.** It's rare to come across a singular matrix because a square matrix selected from a continuous uniform distribution on its entries will almost never be singular.

The opposite of a singular matrix is a non-singular matrix or non-degenerate matrix, which is also a square matrix but whose determinant is not equal to zero. Matrix inversion is the process of calculating the matrix Y that satisfies the prior equation for a given invertible matrix X. A matrix is invertible if it has an inverse, is non-singular or is non-degenerate.

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## What Is the Inverse of a 2x2 Matrix?

A: The inverse of a two-by-two matrix is another two-by-two matrix that, when multiplied by the original matrix, gives the identity matrix. Gauss-Jordan elimi... Full Answer >Filed Under: -
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## What Is the Equation for Inverse Variation?

A: The general formula for inverse variation is k equals y times x, where k is a constant quantity, y is one variable and x is another variable. Under inverse... Full Answer >Filed Under: -
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## What Is the Integral of Arctan?

A: The integral of arctan is x times the inverse tangent of x, minus one-half of the natural logarithm of one plus x squared, plus the constant expressed as C... Full Answer >Filed Under: -
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## Is There a Formula for Inverse Variation?

A: The formula for inverse variation is k equals x times y, where k is a constant quantity, x is one variable and y is another variable. Inverse variation is ... Full Answer >Filed Under: