Question
Determine whether each statement is true or false.$$\text { Calculate the determinant }\left|\begin{array}{lll}a & 0 & 0 \\0 & b & 0 \\0 & 0 & c\end{array}\right|$$
Step 1
Step 1: The determinant of a 3x3 matrix is calculated as follows: $$\left|\begin{array}{lll} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{array}\right| = a \cdot \left|\begin{array}{ll} b & 0 \\ 0 & c \end{array}\right| - 0 \cdot \left|\begin{array}{ll} 0 & 0 \\ 0 & Show more…
Show all steps
Your feedback will help us improve your experience
Erika Bustos and 75 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine whether each statement is true or false. $$\text { Calculate the determinant }\left|\begin{array}{lll} a_{1} & b_{1} & c_{1} \\ 0 & b_{2} & c_{2} \\ 0 & 0 & c_{3} \end{array}\right|$$
Systems of Linear Equations and Inequalities
The Determinant of a Square Matrix and Cramer's Rule
Determine whether each statement is true or false. If all the entries in any column are equal to zero, the value of the determinant is $0 .$
determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Only one $2 \times 2$ determinant is needed to evaluate $$ \left|\begin{array}{ccc}{2} & {3} & {-2} \\ {0} & {1} & {3} \\ {0} & {4} & {-1}\end{array}\right| $$
Systems of Linear Equations
Determinants and Cramer’s Rule
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD