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Let A--= /l 0 3\ /l 0 31 , B = ( 1 - 2 1 , and C ^ 0 - 2 - 2 VI - 3 1/ \ l - 3 1 Find an

Chapter 3, Problem 2

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QUESTION:

Let A--= /l 0 3\ /l 0 31 , B = ( 1 - 2 1 , and C ^ 0 - 2 - 2 VI - 3 1/ \ l - 3 1 Find an elementary operation that transforms A into B and an elementary operation that transforms B into C. By means of several additional operations, transform C into I3.

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QUESTION:

Let A--= /l 0 3\ /l 0 31 , B = ( 1 - 2 1 , and C ^ 0 - 2 - 2 VI - 3 1/ \ l - 3 1 Find an elementary operation that transforms A into B and an elementary operation that transforms B into C. By means of several additional operations, transform C into I3.

ANSWER:

Step 1 of 3

Given matrices are

To find an elementary operation that transforms A into B.

The second column in A and B are different.

If we change the column 2 of A by adding (-2) times column 1 to column 2, it follows

Therefore, the elementary operation is

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