Question

explain elementary transformation on a matrix​

Answer 1

Answer:

Elementary transformations of a matrix are:

rearrangement of two rows (columns);

multiplication of all row (column) elements of a matrix to some number, not equal to zero;

addition of two rows (columns) of the matrix multiplied by the same number, not equal to zero.

Answer 2

Elementary transformations of a matrix find a wide application in various mathematical problems. For example, they lay in a basis of the known Gauss’ method (method of exception of unknown values) for solution of system of linear equations

Elementary transformations of a matrix are:

1. rearrangement of two rows (columns);
2. multiplication of all row (column) elements of a matrix to some number, not equal to zero;
3. addition of two rows (columns) of the matrix multiplied by the same number, not equal to zero.

Two matrices are called equivalent if one of them is maybe received from another after final number of elementary transformations. Generally equivalent matrices are not equal, but have the same rank.

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