The product of matrix B and C is matrix D begin{bmatrix}2 & -1&4 g & 0&32&h&0 end{bmatrix} times begin{bmatrix}-1 & 5 4&f-3&1 end{bmatrix}=begin{bmatr

Rui Baldwin 2021-02-24 Answered
The product of matrix B and C is matrix D
[214g032h0]×[154f31]=[i241644e]
3.From the expression above, what should be the value of e?
4.From the expression above, what should be the value of g?
5.From the expression above, what should be the value of f?
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Expert Answer

rogreenhoxa8
Answered 2021-02-25 Author has 109 answers
Step 1 We are given the two matrices namely B=2[214g032h0] and C=[154f31]
Using the basic rules of multiplication, we have
B×C=2[214g032h0]×[154f31]
B×C=[4282g0644h0]×[154f31]
B×C=[4824202f+82g+01810g+64+8h+020+2hf+0]
Step 2
Now, we have B×C=[4824202f+82g+01810g+64+8h+020+2hf+0] . We are also given that B×C=[i241644e]
Therefore, we now have
B×C=[4824202f+82g+01810g+64+8h+020+2hf+0]=[i241644e]. Comparing the entries of the matrices, we have
-36=i, 28-2f=24
2g+18=16,10g+6=-4
8h-4=4,20+2hf=e
Solving these equations, we get
i=-36,f=2,g=-1,h=1,e=24
Step 3
(3). Answer: The value of e is 24.
(4). Answer: The value of g is -1.
(5). Answer: The value of f is 2.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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