Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.
Answer:
A square matrix whose determinant is equal to zero is called singular matrix.
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\leadsto[/tex] So the square matrix that has its det zero and its inverse is not defined is called a singular matrix.
[tex]\bold{Example:}[/tex]
[tex]\begin{bmatrix} \sf{3} & \sf{6} \\ \sf{2} & \sf{4}\end{bmatrix} \\ \\ \sf and \\ \begin {bmatrix} \sf{ 1} & \sf2 & { \sf2} \\ { \sf1} & { \sf2} & \sf{2} \\ \sf{3} & \sf {2} & \sf{1}\end{bmatrix}[/tex]
[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]
A singular matrix is a square matrix if its determinant is O. i.e., a square matrix A is singular if and only if det A = 0. The formula to find the inverse of a matrix is
▪ [tex] \bold{ {A}^{1} = \dfrac{1 \: }{det \:A } adj[A] }[/tex]
So if det A = 0 then the inverse of A will be not defined.