Question

Given the matrices `A=[(5,7),(-1,6), (3,-9)], B=[(8,3), (5,1), (4,4)], C=[(0,4),(-2,5), (7,-1)], D[(6,2), (9,0), (-3,0)]`, how do you find 4C?

Answer 1

`4C=[(0, 16), (-8, 20), (28, -4)]`

Explanation:

To find `4C`, multiply the `4` throughout the entire matrix `C`.

`color(red)(4) [(0,4), (-2,5), (7, -1)]`

=`[(color(red)4 * 0, color(red)4 * 4), (color(red)4 * -2,color(red)4 * 5), (color(red)4 * 7, color(red)4 * -1)]`

=`[(0, 16), (-8, 20), (28, -4)]`

Answer 2

`((0,16),(-8,20),(28,-4))`

Explanation:

`"multiply each of the elements of C by 4"`

`rArr4C=color(red)(4)((0,4),(-2,5),(7,-1))`

`color(white)(rArr4C)=((color(red)(4)xx0,color(red)(4)xx4),(color(red)(4)xx-2,color(red)(4)xx5),(color(red)(4)xx7,color(red)(4)xx-1))`

`color(white)(rArr4C)=((0,16),(-8,20),(28,-4))`