Question

Is there any other further step I need to do? The answer is very close but not exact so I’m unsure.

Answer 1

Given the matrices:

`A=\begin{bmatrix}{10} & {4} & {0} \\ {1} & {3} & {1}\end{bmatrix},B=\begin{bmatrix}{4} & {1} & \\ {2} & {2} & {} \\ {0} & {-1} & \end{bmatrix}`

we will find the value of AB + I

First, we will find the product of AB as follows:

simplifying the answer:

`AB=\begin{bmatrix}{48} & {18} & {} \\ {10} & {6} & {} \\ {} & {} & {}\end{bmatrix}`

Now, we will add the unity matrix to the answer:

`AB+I=\begin{bmatrix}{48} & {18} & {} \\ {10} & {6} & {} \\ {} & {} & {}\end{bmatrix}+\begin{bmatrix}{1} & {0} & {} \\ {0} & {1} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{49} & {18} & {} \\ {10} & {7} & {} \\ {} & {} & {}\end{bmatrix}`

So, the answer will be option D