Question
If any row (or any column) of a determinant is multiplied by a nonzero number k, the value of the determinant remains unchanged.
Step 1
The determinant of this matrix is given by ad - bc. Show more…
Show all steps
Your feedback will help us improve your experience
Jessica Delaus and 83 other Algebra 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
If row 2 of a 3 by 3 determinant is multiplied by $k, k \neq 0,$ and the result is added to the entries in row 1 , prove that there is no change in the value of the determinant.
Systems of Equations and Inequalities
Systems of Linear Equations: Determinants
Use the determinant to find out for which values of the constant $k$ the given matrix $A$ is invertible. $$\left[\begin{array}{lll} 1 & 1 & k \\ 1 & k & k \\ k & k & k \end{array}\right]$$
Determinants
Introduction to Determinants
Use the determinant to find out for which values of the constant $k$ the given matrix $A$ is invertible. $$\left[\begin{array}{lll} 4 & 0 & 0 \\ 3 & k & 0 \\ 2 & 1 & 0 \end{array}\right]$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD