If 4A-3B=2C (where A,B and C are all matrices) then Matrix A can be defined as: Select one: a) 0.5C+3B b) frac{2C+3B}{4} c) 0.5C+0.75B d) C+B

Question
Matrices
asked 2021-02-19
If 4A-3B=2C (where A,B and C are all matrices) then Matrix A can be defined as:
Select one:
a) 0.5C+3B
b) \(\frac{2C+3B}{4}\)
c) 0.5C+0.75B
d) C+B

Answers (1)

2021-02-20
Step 1
Given,
4A-3B=2C (where A,B and C are all matrices)
Step 2
Now,
\(\therefore 4A-3B=2C\)
\(\Rightarrow 4A=2C+3B\)
\(\Rightarrow A=\frac{2C+3B}{4}\)
\(\Rightarrow A=\frac{2C}{4}+\frac{3B}{4}\)
\(\Rightarrow A=0.5C+0.75B\)
\(\therefore \text{Option(c) } 0.5C+0.75B \text{ is correct}\)
0

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