Find the following matrices: a) A + B.(b) A - B.(c) -4A.(d) 3A + 2B.

Line 2021-02-02 Answered

Find the following matrices: a) A+B.
(b) AB.
(c) -4A.
(d) 3A+2B.
A=[623],B=[423]

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Expert Answer

Caren
Answered 2021-02-03 Author has 96 answers

Step 1
Given matrices:A=[623],B=[423]
To find:
a) A+B.
(b) AB.
(c) -4A.
(d) 3A+2B.
Solution:
A=[623],B=[423]
a)A+B=[623]+[423]
A+B=[(6+4)(22)(3+3)]
A+B=[1000]
b) AB=[623][423]
AB=[(64)(2(2))(33)]
AB=[246]
c)4A=4[623]
4A=[24812]
d)3A+2B=3[623]+2[423]
3A+2B=[1869]+[846]
3A+2B=[(18+8)(64)(9+6)]
3A+2B=[2623]
Step 2
Result
a)A+B=[1000]
b)AB=[246]
c)4A=[24812]
d)3A+2B=[2623]

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