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Let’s check out your problem:

A=[[3,2,-1],[1,-2,2],[2,1,1]]

A=[32−11−22211] A=\left[\begin{array}{ccc}3 & 2 & -1 \\ 1 & -2 & 2 \\ 2 & 1 & 1\end{array}\right]

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Full solution

Q. A=[32−11−22211] A=\left[\begin{array}{ccc}3 & 2 & -1 \\ 1 & -2 & 2 \\ 2 & 1 & 1\end{array}\right]
  1. Check Terminating Decimal: Check if 5.1195.119 is a terminating decimal.\newlineCalculation: 5.1195.119 stops after three decimal places.
  2. Determine Irrationality: Determine if a terminating decimal is irrational.\newlineReasoning: Irrational numbers cannot be expressed as a fraction of two integers and do not terminate or repeat.
  3. Conclude Rationality: Conclude if 5.1195.119 is irrational.\newlineReasoning: Since 5.1195.119 is a terminating decimal, it is not irrational.

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