Find the value of \( \mathrm{k} \) such that the rank of \( \left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & k & 7 \\ 3 & 6 & 10\end{array}\right] \) is 2 . Write the conditions for diaconally dominant svstems
Added by Timothy A.
Close
Step 1
If the determinant is not zero, the rank of the matrix is 3. If the determinant is zero, we need to find the determinant of the 2x2 sub-matrices to determine if the rank is 2 or 1. The determinant of the given 3x3 matrix is: det = 1*(k*10 - 7*6) - 2*(2*10 - 7*3) Show more…
Show all steps
Your feedback will help us improve your experience
Bhushan Arora and 86 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
Find the value of k for which the matrix -7 -8 -30 A = -7 9 4 -6 1 k has rank 2. k = -12.57
Bhushan A.
Reduce the given matrix to reduced rowechelon form and hence determine the rank of each matrix. $$\left[\begin{array}{cccc} 1 & -2 & 1 & 3 \\ 3 & -6 & 2 & 7 \\ 4 & -8 & 3 & 10 \end{array}\right]$$.
Matrices and Systems of Linear Equations
Row-Echelon Matrices and Elementary Row Operations
Determine the value of $k.$ Points $(6,-1),(3, k),$ and (-3,-7) are on the same line.
Plane Analytic Geometry
Basic Definitions
Recommended Textbooks
Precalculus with Limits
Precalculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD