# The matrix A 2 + 4A – 5I, where I is identity matrix and 1 2 4 3 é ù = ê ú ë û – A , equals

Question:

The matrix $A^{2}+4 A-5 I$, where $I$ is identity matrix and $A=\left[\begin{array}{cc}1 & 2 \\ 4 & -3\end{array}\right]$, equals

1. $4\left[\begin{array}{ll}2 & 1 \\ 2 & 0\end{array}\right]$

2. $4\left[\begin{array}{cc}0 & -1 \\ 2 & 2\end{array}\right]$

3. $32\left[\begin{array}{ll}2 & 1 \\ 2 & 0\end{array}\right]$

4. $32\left[\begin{array}{ll}1 & 1 \\ 1 & 0\end{array}\right]$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online April 9, 2013

Solution:

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