Matrix Multiplication using Recursion Multiple choice Questions and Answers (MCQs)

 

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Matrix Multiplication using Recursion Multiple choice Questions and Answers (MCQs)

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Question 1
If Matrix A is of order X*Y and Matrix B is of order M*N, then what is the order of the Matrix A*B given that Y=M?
A
Y*N
B
X*M
C
X*N
D
Y*M
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Question 1 Explanation: 
The Matrix A*B is of order X*N as it is given that Y=M i.e. number of columns in Matrix A is equal to total number of rows in matrix B. So the Matrix A*B must have X number of rows and N number of columns.

Question 2
How many recursive calls are there in Recursive matrix multiplication through Simple Divide and Conquer Method?
A
2
B
6
C
9
D
8
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Question 2 Explanation: 
For the multiplication two square matrix recursively using Simple Divide and Conquer Method, there are 8 recursive calls performed for high time complexity.

Question 3
What is the time complexity of matrix multiplied recursively by Divide and Conquer Method?
A
O(n)
B
O(n2)
C
O(n3)
D
O(n!)
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Question 3 Explanation: 
The time complexity of recursive multiplication of two square matrices by the Divide and Conquer method is found to be O(n3) since there are total of 8 recursive calls.

Question 4
What is the time complexity of matrix multiplied recursively by Strassen's Method?
A
O(nlog7)
B
O(n2)
C
O(n3)
D
O(n!)
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Question 4 Explanation: 
The time complexity of recursive multiplication of two square matrices by Strassen's Method is found to be O(nlog7) since there are total 7 recursive calls.

Question 5
How many recursive calls are there in Recursive matrix multiplication by Strassen's Method?
A
5
B
7
C
8
D
4
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Question 5 Explanation: 
For the multiplication two square matrix recursively using Strassen's Method, there are 7 recursive calls performed for high time complexity.

There are 5 questions to complete.

 

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