construct a 2×3 matrix A=[aij] whose elements are given by aij =|2i-3j| ​

Question

construct a 2×3 matrix A=[aij] whose elements are given by aij =|2i-3j|

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Cora 1 month 2021-08-14T19:13:20+00:00 1 Answer 0 views 0

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    2021-08-14T19:14:31+00:00

    Answer:

    (-1 – 4 – 7

    1 – 2 – 5)

    Step-by-step explanation:

    2×3 matrix is

    aij = (a11 a12 a13

    a21 a22 a23)

    Find

    a11

    i=1 j=1

    aij=|2i-3j|

    =|2(1)-3(1)|

    =|2-3|

    =|-1|

    a12

    i=1 j=2

    aij=|2i-3j|

    =|2(1)-3(2)|

    =|2-6|

    =|-4|

    a13

    i=1 j=3

    aij=|2i-3j|

    =|2(1)-3(3)|

    =|2-9|

    =|-7|

    a21

    i=2 j=1

    aij=|2i-3j|

    =|2(2)-3(1)|

    =|4-3|

    =|1|

    a22

    i=2 j=2

    aij=|2i-3j|

    =|2(2)-3(2)|

    =|4-6|

    =|-2|

    a23

    i=2 j=3

    aij=|2i-3j|

    =|2(2)-3(3)|

    =|4-9|

    =|-5|

    The matrix is

    (-1 – 4 – 7

    1 – 2 – 5)

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