Find the determinant of the matrix $$ H=\left[\begin{array}{lll}y & d & c \ 0 & z & b \ 0 & 0 & x\end{array} ight] $$. $$ |H|=\square $$

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Find the determinant of the matrix $$ H=\left[\begin{array}{lll}y & d & c \ 0 & z & b \ 0 & 0 & x\end{array}ight] $$. $$ |H|=\square $$

UpStudy AI · Accepted Answer

1. The matrix is given as  
   $$
   H=\begin{pmatrix}
   y & d & c \
   0 & z & b \
   0 & 0 & x
   \end{pmatrix}.
   $$
2. Since $$ H $$ is an upper triangular matrix, its determinant is the product of its diagonal entries.
3. Therefore,  
   $$
   |H| = y \cdot z \cdot x.
   $$

The answer is $$ |H| = yzx $$.
The determinant of matrix $$ H $$ is $$ yzx $$.

Find the determinant of the matrix .

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