Find the values of x
Given the matrices
A=$\begin{pmatrix} 1-x & 1 & 0 \\ 1 & 1-x & 0 \\ -1 & x-1 & x \end{pmatrix} $ and B(x)= $\begin{pmatrix} 1 & 1 & x \\ -1 & x & 0 \\ -1 & x^{2} & x \end{pmatrix} $ , x ∈ R
a) Find the values of x, at which $det(A^{T}(x))≤det(−B(x))$
b) Find the values of x, at which rankA(x) ≤ rankB(x) = 2
Edintam372
18
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
Aman R
649
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 785 views
- $5.00
Related Questions
- Linear algebra
- Find eigenvalues and eigenvectors of the matrix $\begin{pmatrix} 1 & 6 & 0 \\ 0 & 2 & 1 \\ 0 & 1 & 2 \end{pmatrix} $
- Show that the $5\times 5$ matrix is not invertable
- Decide if the following representations are linear representations.
- Find the values of a, for which the system is consistent. Give a geometric interpretation of the solution(s).
- Find $a,b,c$ so that $\begin{bmatrix} 0 & 1& 0 \\ 0 & 0 & 1\\ a & b & c \end{bmatrix} $ has the characteristic polynomial $-\lambda^3+4\lambda^2+5\lambda+6=0$
- Algebraic and Graphical Modelling Question
- Linear Algebra - Matrices (Multiple Choice Question) (1st Year College)
