Given the matrices A=begin{bmatrix}1& -1&2 3&4&50&1&-1 end{bmatrix} , B=begin{bmatrix}0&2&1 3&0&57&-6&0 end{bmatrix} text{ and } C=begin{bmatrix}0&0&2 3&1&00&-2&4 end{bmatrix} Determine the following i)2A-B+2C ii)A+B+C iii)4C-2B+3A iv)(A times B)-C

djeljenike 2021-01-02 Answered
Given the matrices
A=[112345011],B=[021305760] and C=[002310024]
Determine the following
i)2A-B+2C ii)A+B+C iii)4C-2B+3A iv)(A×B)C
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Expert Answer

Macsen Nixon
Answered 2021-01-03 Author has 117 answers
Step 1
To find the following from the given matrices A,B and C.
Step 2
Given that
A=[112345011],B=[021305760] and C=[002310024]
(i)2A-B+2C
2[112345011][021305760]+2[002310024]
=[2246810022][021305760]+[004620048]
=[20+022+041+463+680+2105+007+02+6420+8]
=[2479105746]
2AB+2C=[2479105746]
(ii)A+B+C
=[112345011]+[021305760]+[002310024]
=[1+0+01+2+02+1+23+3+34+0+15+5+00+7+01621+0+4]
=[1159510773]A+B+C=[1159510773]
(iii)4C-2B+3A
Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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