Question

the rank of unit matrix order 5 is​

Answer 1

Answer:Rank of unit matrix  In  of order n is n.

For example: Let us take an indentity matrix or unit matrix of order 3×3.

I3  =  = \begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}

We can see that it is an Echelon Form or triangular Form . Now we know that the number of non zero rows of the reduced echelon form is the rank of the matrix.

In our case non zero rows are 3 hence rank of matrix is  ρ  = 3.

In this way we can generalise our deduction and can say rank of unit matrix of order n is n.

Step-by-step explanation: