Question
use determinants to decide whether the given matrix is invertible.$$A=\left[\begin{array}{rrr}2 & 5 & 5 \\-1 & -1 & 0 \\2 & 4 & 3\end{array}\right]$$
Step 1
The determinant of a 3x3 matrix is given by the formula: \[ det(A) = aei + bfg + cdh - ceg - bdi - afh \] where a, b, c, d, e, f, g, h, i are the elements of the matrix. Show more…
Show all steps
Your feedback will help us improve your experience
Tyler Moulton and 101 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
use determinants to decide whether the given matrix is invertible. $$A=\left[\begin{array}{rrr} 2 & -3 & 5 \\ 0 & 1 & -3 \\ 0 & 0 & 2 \end{array}\right]$$
Determinants
Properties of Determinants; Cramer’s Rule
use determinants to decide whether the given matrix is invertible. $$A=\left[\begin{array}{rrr} 2 & 0 & 3 \\ 0 & 3 & 2 \\ -2 & 0 & -4 \end{array}\right]$$
use determinants to decide whether the given matrix is invertible. $$A=\left[\begin{array}{rrr} 2 & 0 & 0 \\ 8 & 1 & 0 \\ -5 & 3 & 6 \end{array}\right]$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD