Math, asked by Kyopn, 1 year ago

Compose the matrix of a sequence of which is an organ

aij = 1/2 | i- 3j |

Answers

Answered by Anonymous
24

Let us name the matrix containing a₁₁ , a₂₁ ,....


aij = 1/2 | i - 3 j |

a₁₁ = 1/2 | 1 - 3 |

= 1/2 [ - 2 ]

= 1/2 . 2

= 1

a₂₁ = 1/2 [ 2 - 3]

= 1/2 . 1

= 1/2

a₃₁ = 1/2 [ 3 - 3 ]

= 0


a₁₂ = 1/2 [ 1 - 6 ]

= 5/2


a₂₂ = 1/2 [ 2 - 6 ]

= 1/2 . 4

= 2


a₂₃ = 1/2 [ 3 - 6 ]

= 3/2


The matrix is :

\\\left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\\a_{31}&a_{32}\end{array}\right] \\\\\implies \left[\begin{array}{ccc}1&\frac{5}{2}\\\frac{1}{2}&2\\0&\frac{3}{2}\end{array}\right] \\

Answered by ritik12336
5
HIIII.....

YOUR ANSWER.....just put values of i and j in equation and u will get the answer

THANKS.......
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