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Home | 18.013A | Chapter 32 | Section 32.3 |
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Find the inverse to the matrix whose rows are first ; second .
Solution:
Here are the rows of the matrices starting with B and with I at each stage of the computation,
Start = stage 0
row 1 of
:
row 1 of
:
row 2 of
:
row 2 of
:
Step 1: divide row 1 by 2
row 1 of
:
row 1 of
:
row 2 of
:
row 2 of
:
Step 2: subtract row 1 from row 2 and replace row 2 by the result
row 1 of
:
row 1 of
:
row 2 of
:
row 2 of
:
Step 3: subtract twice row 2 from row 1 and replace row 1 by the result
row 1 of
:
row 1 of
:
row 2 of
:
row 2 of
:
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