Let A be an m × n matrix and Ban n × m matrix. It is given that deter…

Question

Let A be an m × n matrix and Ban n × m matrix. It is given that determinant (

I

_m + AB) = determinant (

I

_n + BA), where

I

_k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is

\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right]

Accepted Answer

Option B. 5. Answer & Solution Answer: Option B No explanation is given for this question Let's Discuss on Board

Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ( I m + AB) = determinant ( I n + BA), where I k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is \[ [ array*20c 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 array ]\]