Question

By applying elementary transformation to a matrix, its rank (a) Increases (c) Does not change (b) Decreases (d) None of these​

Answer 1

Answer:

Decreases is the answer.

Step-by-step explanation:

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Answer 2

By applying the elementary transformation to a matrix, its rank does not change.

• Elementary transformations are those operations performed on rows and columns of the matrices to transform them into a different form. It helps to make calculations simpler.
• The number of linearly independent row vectors or linearly independent column vectors in a matrix is known as the rank of a matrix.
• Also, we can say that the number of non-zero rows or columns is known as the rank of the matrix.
• The rank of a matrix can be calculated with row transformation or column transformation.
• Hence, the correct answer is option C).