Construct a 2 x 2 matrix, A = [a i j ], whose elements are given by : - Wired Faculty

Matrices

Question

Construct a 2 x 2 matrix, A = [a_{i j}], whose elements are given by :

$straight a subscript ij equals fraction numerator left parenthesis straight i plus straight j right parenthesis squared over denominator 2 end fraction$

Solution

A = [a_{i j}] is 2 x 2 matrix where , a_ij = $fraction numerator left parenthesis straight i plus straight j right parenthesis squared over denominator 2 end fraction$
$therefore space space space space straight a subscript 11 equals fraction numerator left parenthesis 1 plus 1 right parenthesis squared over denominator 2 end fraction equals 4 over 2 equals 2 space space space space space space space space space space space space space space space space space straight a subscript 12 equals fraction numerator left parenthesis 1 plus 2 right parenthesis squared over denominator 2 end fraction equals 9 over 2 space space space space space space space straight a subscript 21 equals fraction numerator left parenthesis 2 plus 1 right parenthesis squared over denominator 2 end fraction equals 9 over 2 space space space space space space space space space space space space space space space space space space space space space straight a subscript 23 equals fraction numerator left parenthesis 2 plus 2 right parenthesis squared over denominator 2 end fraction equals 16 over 2 equals 8 therefore space space space space straight A equals open square brackets table row 2 cell 9 over 2 end cell row cell 9 over 2 end cell 8 end table close square brackets$

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Matrices

Construct a 2 x 2 matrix, A = [a_{i j}], whose elements are given by :

$straight a subscript ij equals fraction numerator left parenthesis straight i plus straight j right parenthesis squared over denominator 2 end fraction$

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Matrices

Construct a 2 x 2 matrix, A = [ai j], whose elements are given by :

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Construct a 2 x 2 matrix, A = [a_{i j}], whose elements are given by :

$straight a subscript ij equals fraction numerator left parenthesis straight i plus straight j right parenthesis squared over denominator 2 end fraction$