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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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