What is the product?
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.