Given: A=[[-2,3],[0,1]] B=[[8,1],[5,4]] Find the following matrices: a. A + B b. A - B c. -4A d. 3A + 2B.

tabita57i 2021-02-09 Answered
Given:
A=[[2,3],[0,1]]
B=[[8,1],[5,4]]
Find the following matrices:
a. A + B
b. A - B
c. -4A
d. 3A + 2B.
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Expert Answer

Brittany Patton
Answered 2021-02-10 Author has 100 answers
a) A+B
A+B=[[2,3],[0,1]]+[[8,1],[5,4]]
=[[2+8,3+1],[0+5,1+4]]
=[[6,4],[5,5]]
b) A-B
AB=[[2,3],[0,1]][[8,1],[5,4]]
=[[28,31],[05,14]]
=[[10,2],[5,3]]
c) -4A
4A=4[[2,3],[0,1]]
=[[42,43],[40,41]]
=[[8,12],[0,4]]
d)3A+2B
3A+2B=3[[2,3],[0,1]]+2[[8,1],[5,4]]
=[[6,9],[0,3]]+[[16,2],[10,8]]
=[[6+16,9+2],[0+10,3+8]]
=[[10,11],[10,11]]
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