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?

2 Answers
Aug 4, 2017

#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)]#

Aug 4, 2017

#((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))#