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

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 Multiple Choice QuestionsShort Answer Type

11. Construct a 3 x 4 matrix whose elements are

ai j = i.j
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12. Construct a 2 x 3 matrix whose elements are given by aij. = i + 2 j .
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13. Construct a 2 x 3 matrix whose elements are given by aij. = i + 2 j .
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14. Construct a 2 x 2 matrix, A = [ai 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
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15. Construct a 2 x 2 matrix, A = [ai j], whose elements are given by :

straight a subscript ij equals i over j
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16. Construct a 2 x 2 matrix, A = [ai j], whose elements are given by :

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


A = [ aij ] is 2 x 2 matrix where straight a subscript ij equals fraction numerator left parenthesis straight i plus 2 space straight j right parenthesis squared over denominator 2 end fraction

therefore space space straight a subscript 11 equals fraction numerator left parenthesis 1 plus 2 right parenthesis squared over denominator 2 end fraction equals 9 over 2 comma 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 4 right parenthesis squared over denominator 2 end fraction equals 25 over 2
space space space space space straight a subscript 21 equals fraction numerator left parenthesis 2 plus 2 right parenthesis cubed over denominator 2 end fraction equals 16 over 2 equals 8 space space space space space space space space space space space straight a subscript 22 equals fraction numerator left parenthesis 2 plus 4 right parenthesis squared over denominator 2 end fraction equals 36 over 2 equals 18
therefore space space space space space straight A equals open square brackets table row cell 9 over 2 end cell cell 25 over 2 end cell row 8 18 end table close square brackets

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17. Construct a 3 X 2 matrix whose elements are given by straight a subscript ij equals 1 half left square bracket straight i minus 3 space straight j right square bracket
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18. Construct a 3 x 4 matrix, whose elements are given by :

straight a subscript ij equals 1 half open vertical bar negative 3 straight i plus straight j close vertical bar
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19. Construct a 3 x 4 matrix, whose elements are given by :

aij = 2 i - j
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20. If open square brackets table row cell straight x minus 2 straight y end cell cell negative straight y end cell row cell 3 straight x end cell 4 end table close square brackets equals open square brackets table row cell negative 4 end cell 3 row 6 4 end table close square brackets find the values of .x and y.
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