Q$1.$ Matrix Multiplication

$[8]$ :

import numpy as np

Create the following matrices in Numpy

$x=\left[\begin{array}{ccccc}2& 3& 4& 6& 7\end{array}\right]$

$5$

$Y=\left[\begin{array}{cccc}3& 2& 6& 1\end{array}\right]$

$0$

$5$

$[37]$:X $=$ np$.$array$([[2,3,4],[5,6,7]])$

print$($X$)$

Y $=$ np$.$array$([[3,2],[5,6],[0,1]])$

print$($Y$)$

$[[2,3,4$

Q$3$: Solve systems of linear equations

Consider a system of linear equations:

$-x_1+3x_2+4x_3=7$

$3x_1+2x_3=2$

$4x_1-5x_2=-4$

# Define the matrix $A$ as the coefficients of the linear equations

A $=$ None # Replacing None with your code.

# Write your code to define $C$ as the right hand side of the linear equations.

C $=$ None # Replacing None with your code.

print$($A$)$

print$($C$)$

Q$3$: Solve systems of linear equations

Consider a system of linear equations:

$-x_1+8x_2+4x_3=7$

$3x_1+2x_3=2$

$4x_1-5x_2=-4$

$[29]$: $*$ Define the matrix $A$ as the coefficients of the linear equations

A $=$ None $*$ Replacing None with your code.

Write your code to define $C$ as the right hand side of the linear equations.

C $=$ None $*$ Replacing None with your code.

print$($A$)$

print$($C$)$

None

None

$[30]$: # Write your code to calculate the solution of the linear equations using the

matrix inverse method. Do not directly use np$.$linalg. solve function.

$x=$ None $\%$ write your code by replacing None with your code.

print $(x)$

None

$[8]$:

fve can also use np$.$linalg.solve function to solve the system of linear equations

XI $=$ None # write your code to solve the equation with

tnp$.$linalg.solve function

print$($X$1)$

None