Question

What is the product?

Answer 1

Answer:

$\begin{bmatrix}-2\\0 \end{bmatrix}$

Step-by-step explanation:

We have the product, $2\times \begin{bmatrix}-1\\0 \end{bmatrix}$.

It is known that,

'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.

So, we get,

$2\times \begin{bmatrix}-1\\0 \end{bmatrix}$.

⇒ $\begin{bmatrix}-1\times 2\\0\times 2 \end{bmatrix}$

⇒ $\begin{bmatrix}-2\\0 \end{bmatrix}$

So, the resulting product is $\begin{bmatrix}-2\\0 \end{bmatrix}$.

Answer 2

Answer:

$\left[\begin{array}{ccc}-2\\0\\\end{array}\right]$

Step-by-step explanation:

We have to find the product of a scalar and 2×2 matrix.

By finding the product of a scalar and a matrix ,we have to multiply the scalar by each entry of the matrix.

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

$\left[\begin{array}{ccc}2.(-1)\\2.0\\\end{array}\right]$

$\left[\begin{array}{ccc}-2\\0\\\end{array}\right]$ which is the product of a scalar and a matrix.