A matrix resulted from elementary row and column transformation is not equivalent to the original matrix as it happens for just row or just column transformations. Given Equivalent means the matrices can be transformed into one another by a combination of elementary row and column operations.

True

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False

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Solution

The correct option is B
False

Irrespective of elementary transformations applied on rows or columns resulting matrix is always equivalent to original one i.e, the matrices can be transformed into one another by a combination of elementary row and column operations.

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Similar questions

Q. Find the inverse of each of the following matrices by using elementary row transformations:

[\begin{matrix} 1 & 1 & 2 \\ 3 & 1 & 1 \\ 2 & 3 & 1 \end{matrix}]

A matrix resulted from elementary row and column transformation is not equivalent to the original matrix as it happens for just row or just column transformations. Given Equivalent means the matrices can be transformed into one another by a combination of elementary row and column operations.

If a matrix B is obtained from matrix A by an elementary row or column transformation then B is said to be ______ of A

Elementary row transformations can be used to find Inverse for any square matrix.

The following matrix can be converted to a Identity matrix using elementary row transformations $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 2 2 & 5 & 5 - 1 & 1 & 1 \end{matrix} ⎤ ⎥ ⎦$

A matrix resulted from elementary row and column transformation is not equivalent to the original matrix as it happens for just row or just column transformations. Given Equivalent means the matrices can be transformed into one another by a combination of elementary row and column operations.

The correct option is B False Irrespective of elementary transformations applied on rows or columns resulting matrix is always equivalent to original one i.e, the matrices can be transformed into one another by a combination of elementary row and column operations.

The correct option is B
False

Irrespective of elementary transformations applied on rows or columns resulting matrix is always equivalent to original one i.e, the matrices can be transformed into one another by a combination of elementary row and column operations.