Question

[aij] 1×n is a row matrix.(true or false)
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Answer 1

SOLUTION

TO CHECK

True / False the below statement :

$\sf{(a_{ij})_{1 \times n}} \: \: is \: a \: row \: matrix$

CONCEPT TO BE IMPLEMENTED

MATRIX

A rectangular array of mn elements $\sf{a_{ij}}$

into m rows and n columns, where $\sf{a_{ij}}$

belong to a field F, is said to be a matrix of order m × n over the field F

In general we solve the problems where elements are from Set of Real numbers

The element $\sf{a_{ij}}$

appearing in the i th row and j th column of the matrix is said to be a ij th element

In an m × n matrix, if m = 1 the matrix is said to be row matrix

A Matrix with single row is called row matrix

EVALUATION

Here the given matrix is $\sf{(a_{ij})_{1 \times n}}$

Comparing with $\sf{(a_{ij})_{m \times n}}$

We get m = 1

Hence the matrix

$\sf{(a_{ij})_{1 \times n}}$ is a row matrix

Hence the statement is TRUE

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