Matrix-vector multiply with NumPy arrays. Define a matrix

and a vector, e.g.,

A = array([[1, 2, 3], [4, 5, 6], [7, 8, 10]])

b = array([-3, -2, -1])

Use the NumPy manual to find a function that computes the

standard matrixvector product A times b (i.e., the vector whose i-th component

is 2 j=0

A[i,j]*b[j]).

Work with slicing and matrix multiplication.

Extract the 2 × 2 matrix in the lower right corner of the

matrix A in Exercise 4.1 as a slice. Add this slice to another 2 × 2 matrix,

multiply the result by a 2 × 2 matrix, and insert this final result in the

upper left corner of the

»

Matrix-vector multiply with NumPy arrays. Define a matrix

and a vector, e.g.,

A = array([[1, 2, 3], [4, 5, 6], [7, 8, 10]])

b = array([-3, -2, -1])

Use the NumPy manual to find a function that computes the

standard matrixvector product A times b (i.e., the vector whose i-th component

is 2 j=0

A[i,j]*b[j]).

Work with slicing and matrix multiplication.

Extract the 2 × 2 matrix in the lower right corner of the

matrix A in Exercise 4.1 as a slice. Add this slice to another 2 × 2 matrix,

multiply the result by a 2 × 2 matrix, and insert this final result in the

upper left corner of the original matrix A. Control the result by hand

calculations.

»

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