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

Equivalent

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Inverse

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Adjoint

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None of the these

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Solution

The correct option is A
Equivalent

A matrix obtained from a given matrix by an elementary row or column transformation is the Equivalent of a given matrix

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Similar questions

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.

Q. Find the inverse of matrix by elementary row transformations.

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 - 1 & 0 & 2 2 & 1 & - 3 \end{matrix} ⎤ ⎥ ⎦

Q. Using elementary row transformation, find the inverse of the matrix

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 2 & 5 & 7 - 2 & - 4 & - 5 \end{matrix} ⎤ ⎥ ⎦

Q. Using elementary row transformation find the inverse of the matrix A =

⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & - 2 2 & 0 & - 1 3 & - 5 & 0 \end{matrix} ⎤ ⎥ ⎦

Multiplying every element of a row of a given matrix by an integer is an elementary transformation.

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

The correct option is A Equivalent A matrix obtained from a given matrix by an elementary row or column transformation is the Equivalent of a given matrix

The correct option is A
Equivalent

A matrix obtained from a given matrix by an elementary row or column transformation is the Equivalent of a given matrix