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Question -

Construct a 2 x 2 matrix A =  whoseelements are given by:



Answer -

(i)

(ii) 

(iii) 

Solution

(i) Given:  ……….(i)

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

A2x 2 = 

(ii) Given: ……….(i)

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

A2x 2 = 

(iii) Given:  ……….(i)

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

Putting  ineq. (i) 

 A2 x 2 = 

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