If A and B are n×n matrices. Find the cost of calculating A2+BAB

Khadija Wells

Khadija Wells

Answered

2020-12-21

If A and B are n×n matrices. Find the cost of calculating A2+BAB

Answer & Explanation

funblogC

funblogC

Expert

2020-12-22Added 91 answers

Step 1
According to the given information,
It is required to determine the cost of calculating A2+BAB
where A and B are n×n matrices.
Step 2
The cost of multiplying two square matrices of order n×n is n3
cost of A2=n3
cost of BAB=(BA)B
cost of BAB=n3+n3
thus,
cost of A3+BAB=n3+n3+n3
cost of A3+BAB=3n3
Jeffrey Jordon

Jeffrey Jordon

Expert

2022-01-23Added 2575 answers

Answer is given below (on video)

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