Roger.Robert
New member
- Joined
- Jan 27, 2018
- Messages
- 30
Find the values of a,b,c(real numbers) for which the matrix A has rank 2.
[MATH] A=\:\begin{pmatrix}1&a&3&4&14&10\\ a&4&-2b&4&-7c&a\\ 3&6&3a&-5b&6&-2b\end{pmatrix} [/MATH]I've tried calculating the determinant of 3x3 submatrices and finding a,b,c if the determinant is zero , but it gives very messy multivariate polynomials which are hard to factor.I was wondering if there's an easier method to do it.
[MATH] A=\:\begin{pmatrix}1&a&3&4&14&10\\ a&4&-2b&4&-7c&a\\ 3&6&3a&-5b&6&-2b\end{pmatrix} [/MATH]I've tried calculating the determinant of 3x3 submatrices and finding a,b,c if the determinant is zero , but it gives very messy multivariate polynomials which are hard to factor.I was wondering if there's an easier method to do it.
