What does it mean for a matrix to be singular? a. It has no inverse. b. It is equal to its inverse. c. It is a square matrix. d. It is equal to its transpose.
Question
What does it mean for a matrix to be singular?
a. It has no inverse.
b. It is equal to its inverse.
c. It is a square matrix.
d. It is equal to its transpose.
Solution
The correct answer is:
a. It has no inverse.
A matrix is singular, or noninvertible, if it does not have an inverse. This typically occurs when the determinant of the matrix is zero. This means that the matrix cannot be used to solve certain systems of equations, as there is no unique solution.
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