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Chapter 2: Q21E (page 108)

TRUE OR FALSE?

There exists an invertiblen脳n matrix with two identical rows.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Compute the transformation of the system.

The matrix is said to be invertible, if and only if the reduced row echelon form of the matrix has nonzero diagonal elements.

02

Identical rows

If there are two identical rows in a matrix, then, they get canceled out. Thus, the inverse of the matrix will not exist irrespective of the order of the matrix.

Hence, the given statement is false.

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TRUE OR FALSE?

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29.[-100-1]
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