Matrix Multiplication using Recursion Quiz Online Practice Test

1. Given Matrix A with dimensions X*Y and Matrix B with dimensions M*N, where Y equals M, what are the dimensions of the resulting matrix from the product A*B?

2. In the Recursive Matrix Multiplication using the Simple Divide and Conquer method, how many recursive calls are made?

3. Determine the time complexity of matrix multiplication using the Divide and Conquer method:

4. Determine the time complexity of matrix multiplication using Strassen’s method:

5. How many recursive calls are made in matrix multiplication using Strassen’s method?

6. Given Matrix A of size 3*4 and Matrix B of size 4*5, how many elements will be present in the resulting matrix after multiplication?

7. If Matrix X is of size A*B and Matrix Y is of size C*D, with B equal to C, then the resulting matrix X*Y will be of size A*D.

8. What is the time complexity of the most efficient matrix multiplication algorithm currently known?

9. Is the Coppersmith-Winograd algorithm more efficient than Strassen’s algorithm in terms of time complexity?