MATRIX.ipynb

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 "[[10, 11, 12], [13, 14, 15], [16, 17, 18]]\n",
 "\n",
 "Printing Matrix A\n",
 "Matrix A:\n",
 "\n",
 "10 11 12\n",
 "13 14 15\n",
 "16 17 18\n",
 "\n",
 "Matrix B:\n",
 "1 2 3\n",
 "4 5 6\n",
 "7 8 9 \n",
 "\n",
 "Matrix D:\n",
 "0 0 0 \n",
 "0 0 0\n",
 "0 0 0\n",
 "\n",
 "Subtraction of matrices A and B\n",
 "[9, 9, 9]\n",
 "[9, 9, 9]\n",
 "[9, 9, 9]\n",
 "\n",
 "Sum of matrices A and B:\n",
 "11 13 15\n",
 "17 19 21\n",
 "23 25 27\n",
 "\n",
 "The sum of the diagonal elements of matrix A is: 42\n"
 ]
 }
 ],
 "source": [
 "\"\"\"\n",
 "Matrices:\n",
 "\n",
 "Initializing the two matrices and the result matrix\n",
 " Using nested for loops to subtract matching elements\n",
 "\"\"\"\n",
 "\n",
 "#Practical Example: Subtraction of 3x3 Matrices in Python\n",
 "\n",
 "#Matrix subtraction, like addition, is an element operation\n",
 "#a element. To subtract two matrices, they must have the same dimensions. \n",
 "#The result is a new matrix with the same dimension, where each element is the difference\n",
 "#of the corresponding elements of the two original matrices.\n",
 "\n",
 "#Initializing the two matrices and the result matrix:\n",
 "\n",
 "# Initialize matrix A with predefined values\n",
 "A = [[10, 11, 12], [13, 14, 15], [16, 17, 18]]\n",
 "print(A)\n",
 "\n",
 "# Print a line break followed by a title for matrix A\n",
 "print(\"\\nPrinting Matrix A\")\n",
 "\n",
 "# Print the title for array A\n",
 "print(\"Matrix A:\\n\")\n",
 "\n",
 "# Start a loop to traverse the rows of the matrix\n",
 "for line in range(3): \n",
 "\n",
 " # Starts an internal loop to traverse the columns of the matrix\n",
 " for column in range(3): \n",
 "\n",
 " # Print the value of the current element of the array followed by two spaces, without breaking the line\n",
 " print(f\"{A[line][column]}\", end=\" \") \n",
 "\n",
 " # Print a line break after printing all the elements of a complete line of the matrix\n",
 " print() \n",
 "\n",
 "\n",
 "# Initialize matrix B with predefined values\n",
 "B = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]\n",
 "\n",
 "# Print a line break followed by a title for matrix B\n",
 "print(\"\\nMatrix B:\")\n",
 "\n",
 "# Start a loop to traverse the rows of the matrix\n",
 "for line in range(3): \n",
 "\n",
 " # Starts an internal loop to traverse the columns of the matrix\n",
 " for column in range(3): \n",
 "\n",
 " # Print the value of the current element of the array followed by two spaces, without breaking the line\n",
 " print(f\"{B[row][column]}\", end=\" \") \n",
 "\n",
 " # Print a line break after printing all the elements of a complete line of the matrix\n",
 " print() \n",
 "\n",
 "\n",
 "# Initialize matrix D with all elements being zero\n",
 "D = [\n",
 " [0, 0, 0], \n",
 " [0, 0, 0], \n",
 " [0, 0, 0]\n",
 "]\n",
 "\n",
 "# Print the title for array D\n",
 "print(\"\\nMatrix D:\")\n",
 "\n",
 "# Start a loop to traverse the rows of the matrix\n",
 "for line in range(3):\n",
 "\n",
 " # Starts an internal loop to traverse the columns of the matrix\n",
 " for column in range(3):\n",
 "\n",
 " # Print the value of the current element of the array followed by two spaces, without breaking the line\n",
 " print(f\"{D[row][column]}\", end=\" \")\n",
 "\n",
 " # Print a line break after printing all the elements of a complete line of the matrix\n",
 "print()\n",
 "\n",
 "\n",
 "# Subtraction of matrices A and B\n",
 "\n",
 "print(\"\\nSubtraction of matrices A and B\")\n",
 "# Start a loop to traverse the rows of the matrix\n",
 "for line in range(3): \n",
 "\n",
 " # Starts an internal loop to traverse the columns of the matrix\n",
 " for column in range(3): \n",
 "\n",
 " # Subtracts the value in matrix B from the corresponding value in matrix A and stores the result in matrix D\n",
 " D[line][column] = A[line][column] - B[line][column]\n",
 "\n",
 "# Start a loop to go through each row of matrix D\n",
 "for line in D:\n",
 "\n",
 " # Print the current row of matrix D\n",
 " print(line)\n",
 "\n",
 "\n",
 "print()