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Use properties of determinants to evaluate the given determinant by inspection. Explain your reasoning.
$\left \begin{array} { r r r } { 1 } & { 1 } & { 1 } \\ { 3 } & { 0 } & {  2 } \\ { 2 } & { 2 } & { 2 } \end{array} \right$
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Answered 1 year ago
Step 1
1 of 3Recall the following results.

If $C$ is a matrix obtained from a matrix $B$ by adding a multiple of $i^\text{th}$ row of $B$ to its $j^\text{th}$ row, then $\det(C)=\det(B)$.

If a row of a matrix is a zero row, then the determinant of the matrix is zero.
Step 1
1 of 2Determinant has two equal rows, so by $\textbf{Theorem 4.3 c)}$, its value is 0.
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