Respuesta :

Answer:

[tex]\begin{bmatrix}-2\\0 \end{bmatrix}[/tex]

Step-by-step explanation:

We have the product, [tex]2\times \begin{bmatrix}-1\\0 \end{bmatrix}[/tex].

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,

[tex]2\times \begin{bmatrix}-1\\0 \end{bmatrix}[/tex].

⇒ [tex]\begin{bmatrix}-1\times 2\\0\times 2 \end{bmatrix}[/tex]

⇒ [tex]\begin{bmatrix}-2\\0 \end{bmatrix}[/tex]

So, the resulting product is [tex]\begin{bmatrix}-2\\0 \end{bmatrix}[/tex].

Answer:

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

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.[tex]\left[\begin{array}{ccc}1\\4&\end{array}\right][/tex]

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

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


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