# Find the values of x

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 be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

1 Attachment

Aman R

643

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 405 views
- $5.00

### Related Questions

- Diagonal and Similar Matrices
- Consider the vector v = (3, 4, 5)^T, calculate the orthogonal projection
- Find $x$ so that $\begin{bmatrix} 2 & 0 & 10 \\ 0 & x+7 & -3 \\ 0 & 4 & x \end{bmatrix} $ is invertible
- How do I evaluate and interpret these sets of vectors and their geometric descriptions?
- Closest Points on Two Lines: How to use algebra on equations to isolate unknowns?
- Diagonalization of linear transformations
- Show that the $5\times 5$ matrix is not invertable
- Hello! I Would like a proof detailed of the following question.