Plot the graph of the function f(t) = sin(t) in the interval [-π, π], with red dots. Label the x-axis and y-axis with "time" and "value", respectively.

Define the following matrices using the numpy library:

A: A matrix of all zeros.

B: A matrix of all ones.

C: A diagonal matrix of size 5x5.

D: A matrix in the form:

Create a random matrix and compute its determinant.

Define a matrix as follows:

Print the following submatrices:

• The first row of the matrix
• The first column of the matrix
• The first three rows and columns of the matrix
• The last row of the matrix
• The last column of the matrix
• The last three columns of the matrix
• The last three columns of the first three rows of the matrix
• The diagonal of the matrix
• The odd-numbered rows (1st, 3rd, 5th, etc.) of the matrix
• A matrix B such that its first row is the last row of A, its second row is the second-to-last row of A, and its last row is the first row of A.
• A matrix D that consists of the odd-indexed rows and even-indexed columns of A.

Plot the function f(x,y) = x^2 + y^2 over the interval [-3, 3].

Plot the functions f(x) = sin(x) and g(x) = cos(x) in the following ways:

• In a single plot
• In two separate plots
• In a single plot with two subplots