Which among the following can be called as identity matrix/matrices.

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Solution

The correct options are
A

D

As we said the only condition for a matrix to become identity matrix is that its main diagonal elements should be 1 and all other elements should be zero. Its satisfied for (a) and (d). In option (b) its not the main diagonal whose elements are one hence dissatisfying the condition.

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Similar questions

Which among the following are singular matrix /matrices?

(\begin{matrix} cos α & sin α cos α & sin α \end{matrix})

(\begin{matrix} cos α & cos α sin α & sin α \end{matrix})

A B \neq I

A

B

n \times n

det (A) \neq 0,

A + B = {(A B)}^{2}

B A B = A + I,

I

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