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Engineering LibreTexts

4.32: Untitled Page 87

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  • Chapter 4

    (1) Construct the augmented matrix AI according to

    and use elementary row operations to transform this augmented matrix to the form

    Show that the elements represented by B make up the matrix B having the

    property that


    B  A

    . Use your result to calculate


    u  A

    b .

    (2) Show that the inverse found in Part 1 satisfies


    A A

     I.

    (3) Use Mathematica’s built‐in function Inverse to find the inverse of A .

    (4) Use Mathematica’s RowReduce function on the augmented matrix Ab and show that from the row echelon form you can obtain the same results as in (1).

    (5) Use Mathematica’s Solve function to solve Au  b .