Textbook Videos Cramer's Rule [ $$ \dagger $$ ] Find the Area of a Triangle on the Coordinate Plane Using a Determinant Determine if a $$ 3 imes 3 $$ Matrix is Invertible (nonsingular) Using a Determinant A square $$ M $$ is singular if and only if $$ \operatorname{det}(\boldsymbol{M})=\mathbf{0} $$. True False Submit Question

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Textbook Videos Cramer's Rule [ $$ \dagger $$ ] Find the Area of a Triangle on the Coordinate Plane Using a Determinant Determine if a $$ 3 	imes 3 $$ Matrix is Invertible (nonsingular) Using a Determinant A square $$ M $$ is singular if and only if $$ \operatorname{det}(\boldsymbol{M})=\mathbf{0} $$. True False Submit Question

UpStudy AI · Accepted Answer

1. A matrix $$ M $$ is called singular if and only if it is not invertible.  
2. One of the key properties of square matrices is that $$ M $$ is invertible if and only if its determinant is nonzero, i.e., $$ \operatorname{det}(M) 
eq 0 $$.  
3. Therefore, $$ M $$ is singular if and only if $$ \operatorname{det}(M)=0 $$.

Thus, the statement is **True**.
The statement is True.

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Cramer’s Rule [ ]
Find the Area of a Triangle on the Coordinate Plane Using a Determinant Determine if a Matrix is Invertible (nonsingular) Using a Determinant

A square is singular if and only if .
True
False
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Textbook Videos Cramer’s Rule [ ] Find the Area of a Triangle on the Coordinate Plane Using a Determinant Determine if a Matrix is Invertible (nonsingular) Using a Determinant A square is singular if and only if . True False Submit Question