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

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Question

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

Options

  • Diagonal matrix

  • Scalar matrix

  • Row matrix

  • None of these

MCQ

Solution

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.

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