If #A=((-3, x),(2y, 0))# and #B=((4, 6),(-3, 1))#, what is #A-B#?

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Answer 1 · 2018-03-10T19:37:57

#A-B = ((-7, x-6), (2y+3, -1))#

In a matrix problem like this, all you have to do is subtract each element of #B# from the corresponding element in #A#.

In other words,

#((-3, x), (2y, 0)) - color(blue)(((4, 6), (-3,1)))#

is the same thing as

#((-3-color(blue)4, x-color(blue)6), (2y-(color(blue)(-3)), 0-color(blue)1))#

Simplifying each statement gives us our answer.

#((-7, x-6), (2y+3, -1))#