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Construct a 2xx2 matrix, where (i) a("...

Construct a `2xx2` matrix, where
(i) `a_("ij")=((i-2j)^(2))/(2)` (ii) `a_("ij")=|-2i+3j|`

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AI Generated Solution

To construct the required \(2 \times 2\) matrices based on the given formulas, we will follow these steps: ### Part (i): Constructing the matrix \(A\) where \(a_{ij} = \frac{(i - 2j)^2}{2}\) 1. **Calculate \(a_{11}\)**: \[ a_{11} = \frac{(1 - 2 \cdot 1)^2}{2} = \frac{(1 - 2)^2}{2} = \frac{(-1)^2}{2} = \frac{1}{2} \] ...
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CENGAGE-MATRICES-Solved Examples And Exercises
  1. Construct a 2xx2 matrix, where (i) a("ij")=((i-2j)^(2))/(2) (ii) a("...

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  2. In which of the following type of matrix inverse does not exist always...

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  20. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

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