Question

Matrix addition Please write a Python program that can call the following functions on two 3×3 matrices, A and B. The functions are matrixAdd and matrixAddAsString. Please ensure that your program can handle negative array elements also. - matrixAdd: accepts three 3×3 matrices A, B, and SUM as arguments to the function. It adds A and B and returns their sum. The sum is stored in matrix SUM.

Answer 1

The order of vector addition does not affect the sum due to the commutative property. By using the analytical method to add vectors A, B, and C in any order, the sum remains consistent. This is shown by the identical resultant sum of their horizontal and vertical components.

Step-by-step explanation:

The properties of vector addition demonstrate that the order of adding vectors does not change the resultant sum. This characteristic is known as the commutative property, and it applies to vector addition much like it does to the addition of ordinary numbers. To show this, we can pick three arbitrary vectors with different lengths and directions: vector A, vector B, and vector C. If we add these vectors in the order A + B + C and compare the result with a different order, such as B + C + A, the final sum will be the same.Using the analytical method of vector addition, we first determine the horizontal and vertical components of each vector. We can then add these components together to find the resulting vector's components. The magnitude and direction of the resultant vector can be determined through the use of the Pythagorean theorem and trigonometric identities. Regardless of the order in which vectors A, B, and C are added together, the individual horizontal and vertical components will always result in the same sum due to the commutative property of addition.