Question Details

The matrix which follows the condition m>n is called as

Options

A

vertical matrix

B

horizontal matrix

C

diagonal matrix

D

square matrix

Correct Answer :

vertical matrix

Solution :

The correct option is "vertical matrix".

Let us understand the definition and structure of matrices to see why this is correct.

A matrix is a rectangular array of numbers arranged in rows and columns. Typically, the order or dimension of a matrix is represented as:
m×n
where:
m represents the number of rows (horizontal lines of elements).
n represents the number of columns (vertical lines of elements).

Depending on the relationship between the number of rows (m) and the number of columns (n), matrices are classified into different types:

1. Square Matrix: A matrix where the number of rows equals the number of columns, i.e., m = n.
2. Horizontal Matrix: A matrix where the number of columns is greater than the number of rows, i.e., m < n. Such a matrix looks wider than it is tall.
3. Vertical Matrix: A matrix where the number of rows is greater than the number of columns, i.e., m > n. Such a matrix looks taller than it is wide.

Since the question specifies the condition:
m>n
it corresponds to a matrix with more rows than columns, which is called a vertical matrix.

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