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Accept two square matrices A and B of dimensions n×n as input and compute their product AB.The first line of the input will contain the integer n. This is followed by 2n lines. Out of these, each of the first n lines is a sequence of comma-separated integers that denotes one row of the matrix A. Each of the last n lines is a sequence of comma-separated integers that denotes one row of the matrix B.Your output should again be a sequence of n lines, where each line is a sequence of comma-separated integers that denotes a row of the matrix AB.CODE WITH ALGORITHM# CODE WITH ALGORITHM# 1. Accept an integer 'n' as input.# 2. Initialize empty lists 'A' and 'B' to store matrices.# 3. Loop 'n' times to accept matrix A:#     3.1. Initialize an empty list 'row'.#     3.2. Split the input line by ',' and convert each element to an integer, adding it to 'row'.#     3.3. Append 'row' to matrix 'A'.# 4. Loop 'n' times to accept matrix B:#     4.1. Initialize an empty list 'row'.#     4.2. Split the input line by ',' and convert each element to an integer, adding it to 'row'.#     4.3. Append 'row' to matrix 'B'.# 5. initialize matrix 'C' as a zero-matrix:#     5.1. Loop 'n' times to initialize each element of 'C' to 0.# 6. [Perform matrix product:]#     6.1. Loop 'n' times to iterate through rows of 'A':#         6.1.1. Loop 'n' times to iterate through columns of 'B':#             6.1.1.1. Initialize a variable 'esum' to 0.#             6.1.1.2. Loop 'n' times to iterate through the elements of 'A' and 'B':#                 6.1.1.2.1. Add the product of corresponding elements from 'A' and 'B' to 'esum'.#             6.1.1.3. Update the corresponding element in 'C' with 'esum'.#             6.1.1.4. If it's not the last element in the row:#                 6.1.1.4.1. Print the element followed by a comma.#                 6.1.1.4.2. Else, print the last element in the row without a comma.Sample Test CasesDownload All Test Case 1InputExpected OutputActual Output21,23,45,67,819,2243,50Test Case 2InputExpected OutputActual Output31,0,00,1,00,0,12,3,45,9,110,12,132,3,45,9,110,12,13

Question

Accept two square matrices A and B of dimensions n×n as input and compute their product AB.The first line of the input will contain the integer n. This is followed by 2n lines. Out of these, each of the first n lines is a sequence of comma-separated integers that denotes one row of the matrix A. Each of the last n lines is a sequence of comma-separated integers that denotes one row of the matrix B.Your output should again be a sequence of n lines, where each line is a sequence of comma-separated integers that denotes a row of the matrix AB.CODE WITH ALGORITHM# CODE WITH ALGORITHM# 1. Accept an integer 'n' as input.# 2. Initialize empty lists 'A' and 'B' to store matrices.# 3. Loop 'n' times to accept matrix A:#     3.1. Initialize an empty list 'row'.#     3.2. Split the input line by ',' and convert each element to an integer, adding it to 'row'.#     3.3. Append 'row' to matrix 'A'.# 4. Loop 'n' times to accept matrix B:#     4.1. Initialize an empty list 'row'.#     4.2. Split the input line by ',' and convert each element to an integer, adding it to 'row'.#     4.3. Append 'row' to matrix 'B'.# 5. initialize matrix 'C' as a zero-matrix:#     5.1. Loop 'n' times to initialize each element of 'C' to 0.# 6. [Perform matrix product:]#     6.1. Loop 'n' times to iterate through rows of 'A':#         6.1.1. Loop 'n' times to iterate through columns of 'B':#             6.1.1.1. Initialize a variable 'esum' to 0.#             6.1.1.2. Loop 'n' times to iterate through the elements of 'A' and 'B':#                 6.1.1.2.1. Add the product of corresponding elements from 'A' and 'B' to 'esum'.#             6.1.1.3. Update the corresponding element in 'C' with 'esum'.#             6.1.1.4. If it's not the last element in the row:#                 6.1.1.4.1. Print the element followed by a comma.#                 6.1.1.4.2. Else, print the last element in the row without a comma.Sample Test CasesDownload All Test Case 1InputExpected OutputActual Output21,23,45,67,819,2243,50Test Case 2InputExpected OutputActual Output31,0,00,1,00,0,12,3,45,9,110,12,132,3,45,9,110,12,13

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Solution

The text you provided seems to be a problem statement for a programming task. It's asking for a program that can multiply two square matrices. The matrices are inputted as a series of comma-separated integers, with each line representing a row of the matrix. The output should be the product of the two matrices, formatted in the same way.

Here's a step-by-step breakdown of the algorithm:

  1. Accept an integer 'n' as input. This will be the dimension of the square matrices.
  2. Initialize two empty lists 'A' and 'B'. These will store the matrices.
  3. Loop 'n' times to accept the rows of matrix A. For each iteration:
    • Initialize an empty list 'row'.
    • Split the input line by ',' and convert each element to an integer, then add it to 'row'.
    • Append 'row' to matrix 'A'.
  4. Repeat step 3 for matrix B.
  5. Initialize matrix 'C' as a zero-matrix of size 'n' x 'n'.
  6. Perform the matrix multiplication:
    • Loop 'n' times to iterate through the rows of 'A'.
    • For each row, loop 'n' times to iterate through the columns of 'B'.
    • For each element in the current row of 'A' and column of 'B', multiply them together and add the result to a running total 'esum'.
    • Update the corresponding element in 'C' with 'esum'.
  7. Print out matrix 'C', with each element separated by a comma and each row on a new line.

This algorithm assumes that the input matrices are well-formed and that 'n' is a positive integer.

This problem has been solved

Similar Questions

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

Given 2 matrices A and B of size NxM. You have to find the sum between 1st row of matrix A and Nth row of matrix B, 2nd row of matrix A and (N-1)th row of matrix B and so on.Input FormatFirst line of input contains N,M - the size of the matrices. Its followed by 2xN lines, each containing M integers - elements of the matrices. First N lines for matrix A and the next N lines for matrix B.Output FormatPrint the sum of row 1 of A and row N of B, row 2 of A and row (N-1) of B and so on.Constraints1 <= N, M <= 100-102 <= mat[i][j] <= 102ExampleInput3 33 -2 51 3 44 0 72 2 4-8 4 37 1 9Output23719ExplanationSelf Expla

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