Suppose that begin{bmatrix}4 & A & 2&4 -7 & -4 & -4 & B end{bmatrix} + begin{bmatrix}0 & 7& C&2 3 & D & 4 & -7 end{bmatrix}=begin{bmatrix}4 & 3 & 10&6 -4 & -5 & 0 & -4 end{bmatrix} What are the values of A,B,C and D ?

aortiH 2021-01-25 Answered
Suppose that [4A24744B]+[07C23D47]=[431064504]
What are the values of A,B,C and D ?
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Expert Answer

liingliing8
Answered 2021-01-26 Author has 95 answers
Step 1
Add the given matrices with their the corresponding elements,
[4A24744B]+[07C23D47]=[431064504]
[4A+72+C644+D0B7]=[431064504]
Step 2
If the two matrices are equal then their corresponding elements are also equal. The above two matrices are equal,
Thus,
A+7=3A=4
2+C=10C=8
4+D=5D=1
B7=4B=3
So, A=4,B=3,C=8 and D=1
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Jeffrey Jordon
Answered 2022-01-23 Author has 2047 answers

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