Question

By changing the signs of all elements of a matrix we obtain what?

Answer 1

Answer:

The negative of the matrix A is the matrix (-1)A, written as – A. For example: Let A = [12−17−59]. Clearly, the negative matrix is obtained by changing the signs of each element.

Answer 2

Answer:

Negative matrix will be obtained by changing the signs of all elements of a matrix.

Step-by-step explanation:

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in a rows and columns, which is used to represent a mathematical object or a property of such an object.

            The matrix size is defined by the number of rows and columns. There is no limit of the number of rows and columns a matrix can have as long as they are positive integers. A matrix with m rows and n columns is known as an m × n matrix, or m-by-n matrix, while m and n are known as its dimensions.

Negative matrix- A negative matrix is an integer matrix $(a)$ₓₙ for which each matrix element is a negative number, i.e, $a$ₓₙ for all x, n.

Types of matrices-

• Matrices with a single row are known as row vectors,
• Matrices with a single column are known as column vectors.
• A matrix containing the same number of rows and columns is known as a square matrix.
• A matrix containing an infinite number of rows or columns or both is called an infinite matrix.
• In some contexts, such as computer algebra programs, it is useful to consider a matrix with no rows or no columns, known as an empty matrix.

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