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

Rui Baldwin

Answered question

2021-02-24

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?

Answer & Explanation

rogreenhoxa8

rogreenhoxa8

Skilled2021-02-25Added 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.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

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