Consider the two matrices P and Q which are 10 x 20 and 20 x 30 matrices respectively. What is the number of multiplications required to multiply the two matrices?

Consider the matrices P, Q and R which are 10 x 20, 20 x 30 and 30 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the three matrices?

Problem StatementHarpreet is a student learning about matrix multiplication. She wants to write a program to multiply two matrices, a and b, each of size N x N. Can you help her with the code?Write a program that takes an integer N as input and two matrices a and b of size N x N. Implement matrix multiplication and print the resulting matrix c.Note: A square matrix is where the number of rows equals the number of columns.Input format :The first line of input consists of an integer N, representing the matrix size.The next N lines consist of N space-separated elements in each line, representing the first matrix.After being separated by a new line, the next N lines consist of N space-separated elements in each line, representing the second matrix.Output format :The output prints the product of two matrices.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ N ≤ 80 ≤ elements ≤ 9Sample test cases :Input 1 :32 3 23 2 33 3 34 5 62 3 11 2 3Output 1 :16 23 21 19 27 29 21 30 30 Input 2 :22 22 35 07 8Output 2 :24 16 31 24 Input 3 :81 5 2 4 7 3 2 12 3 4 5 6 7 8 94 5 6 1 2 3 7 82 5 8 7 4 1 9 61 4 7 8 5 2 6 99 8 6 4 7 5 1 27 5 3 9 5 1 4 83 4 8 9 7 1 2 05 8 7 4 6 1 2 09 7 4 5 6 3 2 17 5 6 8 4 1 2 31 4 5 2 3 9 8 72 5 8 7 4 3 6 94 5 8 7 1 0 0 11 5 6 7 8 4 2 23 2 1 4 3 5 3 6Output 3 :99 131 152 141 106 88 97 115 145 200 236 248 183 155 137 181 155 177 179 207 172 108 88 113 157 201 217 233 202 166 146 169 149 186 206 223 179 176 157 194 204 243 255 231 185 110 128 136 152 208 212 197 188 177 164 179 136 178 206 184 146 133 148 159

Let A1, A2, A3, and A4 be four matrices of dimensions 10 x 5, 5 x 20, 20 x 10, and 10 x 5, respectively. The minimum number of scalar multiplications required to find the product A1A2A3A4 using the basic matrix multiplication method isGroup of answer choices20001001500500

Consider the matrices and  .Calculate .

Let’s assume the cost of multiplying a Matrix A(M*N) and Matrix B(N*Q) be M*N*Q.There are 4 matrices A(2*3) ,B(3*6), C(6*4) ,D(4*5).We should Multiply these 4 matrices in Such a way so that the total cost will be minimum.Find the Possible way to multiply these matrices to get minimum cost.a.A*((B*C)*D)b.(A*B)*(C*D)c.((A*B)*C)*Dd.All the above