X=np.array([[1,0],[0,1]])Y=np.array([[2,2],[2,2]])Z=np.dot(X,Y)
Question
X=np.array([[1,0],[0,1]])Y=np.array([[2,2],[2,2]])Z=np.dot(X,Y)
Solution
The code you provided is written in Python, specifically using the NumPy library for numerical computations. Here's a step-by-step explanation of what it does:
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X=np.array([[1,0],[0,1]]): This line creates a 2D array (or matrix)Xwith the NumPy functionnp.array. The matrixXis a 2x2 identity matrix, which has 1s on the diagonal and 0s elsewhere. -
Y=np.array([[2,2],[2,2]]): This line creates another 2D arrayY, which is a 2x2 matrix where all elements are 2. -
Z=np.dot(X,Y): This line performs a dot product of the matricesXandYusing the NumPy functionnp.dot. The dot product in this context is equivalent to matrix multiplication.
The result, Z, is another 2x2 matrix. Because X is an identity matrix, multiplying it by any matrix Y will result in a matrix that is the same as Y. So, Z should be the same as Y, a 2x2 matrix with all elements equal to 2.
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