# Singular Matrix

If the determinant of a matrix is 0 then the matrix has no inverse

It is called a singular matrix.

Example:

Solution:

Determinant = (3 × 2) – (6 × 1) = 0

The given matrix does not have an inverse. It is a singular matrix.

When a matrix cannot be inverted and the reasons why it cannot be inverted?
What is a Singular Matrix and how to tell if a 2x2 Matrix is singular?
A singular matrix is one which is non-invertible i.e. there is no multiplicative inverse, B, such that the original matrix A × B = I (Identity matrix)
A matrix is singular if and only if its determinant is zero.
Example:
Are the following matrices singular?
$$\left| {\begin{array}{*{20}{c}}3&6\\2&4\end{array}} \right|$$

$$\left|{\begin{array}{*{20}{c}}1&0\\1&0\end{array}} \right|$$

$$\left|{\begin{array}{*{20}{c}}2&7\\6&9\end{array}} \right|$$

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