# Questions tagged [tridiagonal-matrices]

Relating to all $n\times n$ matrices $(A)$ with the property $a_{i,j}=0$ if $|j-i|>1$

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### How to show two matrices are similar? [closed]

Show that the matrices A = ⎡ 1 1 1 ⎤ ⎢ 1 1 1 ⎥ ⎣ 1 1 1 ⎦ and B = ⎡ 3 0 0 ⎤ ⎢ 0 0 0 ⎥ ⎣ 0 0 0 ⎦ are similar? I know I should show there exist P- such that A=PBP-, but how do I find P, and is there a ...
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### Recursive computation of determinant of Toeplitz tridiagonal matrix

Let a matrix be a tridiagonal matrix of size $n \times n$, with elements equal to $2$ on the main diagonal, elements equal to $1$ directly above the main diagonal, elements equal to $3$ directly below ...
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1 vote
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### Positive definiteness of symmetric block tridiagonal matrix

Let $A\in\mathbb{R}^{n\times n}$ be the symmetric tridiagonal matrix \begin{equation*} A:=\begin{pmatrix} u_1 & v_1 & \\ v_1 & u_2 & v_2 \\ & v_2 & \ddots & \ddots \\ &...
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