Question

A square matrix in which elements in the diagonal are all 1 and rest are all zero is called an

पर्याय

• Diagonal matrix

• Scalar matrix

• Row matrix

• None of these

Answer 1

None of these

Explanation:

An identity matrix is a square matrix in which the diagonal elements are all one and the rest are all zero. In other words, if A = `[a_(ÿ)]_(n xx n)` is an identity matrix, then

`a_(ÿ) = {:[(1,  "if"  i = j),(0,  "if"  i ≠ j):}`

The identity matrix of order 'n' is denoted by In. When the context clearly indicates the order, we simply write it as I.