The 2 times 2 matrices A and B below are related to matrix C by the equation: C=3A-2B. Which of the following is matrix C. A=begin{bmatrix}3 & 5 -2 &

aortiH

aortiH

Answered question

2020-12-25

The 2×2 matrices A and B below are related to matrix C by the equation: C=3A2B. Which of the following is matrix C.
A=[3521]B=[4521]
[1521]
[185101]
[185101]
[1521]

Answer & Explanation

casincal

casincal

Skilled2020-12-26Added 82 answers

Step 1
We have to find matrix C by the equation C=3A−2B where matrices are given as:
A=[3521] and B=[4521]
We know the operations of matrices,
If we multiply by any scalar to the matrix then it get multiplied in each elements example:
2[abcd]=[2a2b2c2d]
Now for addition we add corresponding elements,
[abcd]+[xyzw]=[a+xb+yc+zd+w]
Step 2
Applying above rule for the given condition, we get
C=3A2B
=3[3521]2[4521]
=[3×33×53×(2)3×1][2×(4)2×52×22×1]
=[91563][81042]
=[9(8)15106432]
=[9+85101]
=[175101]
Hence, value of C is [175101]
Note:
There is no suitable option for the given conditions.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-23Added 2605 answers

Answer is given below (on video)

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