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Omni-MATH / Let A=(a_(ij))∈M_((n+1)×(n+1))(R) with a_(ij)=a+|i−j|d, where a and d are fixed real numbers. Calculate det(A).

Problem

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problem

Let A=(aij)∈M(n+1)×(n+1)(R)A=(a_{ij})\in M_{(n+1)\times (n+1)}(\mathbb{R}) with aij=a+|i−j|da_{ij}=a+|i-j|d, where aa and dd are fixed real numbers. Calculate det(A)\det(A).
Plain-text mathematical notation (without MathML)
Let A=(a_(ij))∈M_((n+1)×(n+1))(R) with a_(ij)=a+|i−j|d, where a and d are fixed real numbers.
Calculate det(A).
Original LaTeX notation
Let $A=(a_{ij})\in M_{(n+1)\times (n+1)}(\mathbb{R})$ with $a_{ij}=a+|i-j|d$, where $a$ and $d$ are fixed real numbers.
Calculate $\det(A)$.

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Source and history

task_id
fcbdff78-c3ba-5772-820b-4a99e17c6221
task_key
test--fcbdff78-c3ba-5772-820b-4a99e17c6221
task_revision_id
1
config / split
/ test

Official source

initial import