Question

Find 0.2B
B=[50 10
25 15]

Answer 1

Multiplying a matrix by a scalar results in every entry in a matrix get multiplied by that scalar, as defined,

`a\begin{bmatrix}b&c\\d&e\\\end{bmatrix}=\begin{bmatrix}ab&ac\\ad&ae\\\end{bmatrix}`

So in our case, (
`0.2=(1)/(5)`

`(1)/(5)\begin{bmatrix}50&10\\25&15\\\end{bmatrix}=\begin{bmatrix}(50)/(5)&(10)/(5)\\(25)/(5)&(15)/(5)\\\end{bmatrix}=\boxed{\begin{bmatrix}10&2\\5&3\\\end{bmatrix}}`

Hope this helps :)