In [1]:

```
# Program to find the sum of n numbers using array
# Variable declaration
n = 5
x = [36,45,52,44,62]
print "How many integers ?",n
print "Enter the 1th value :",x[0]
print "Enter the 2th value :",x[1]
print "Enter the 3th value :",x[2]
print "Enter the 4th value :",x[3]
print "Enter the 5th value :",x[4]
summ = 0
# Calculation of sum of numbers
for i in x:
summ = summ + i
print "Sum of all integers =",summ
```

In [2]:

```
# Program to find the biggest of n numbers
# Variable declaration
n = 5
x = [25,-228,0,185,36]
print "How many numbers ?",n
print "Enter all those numbers"
for a in x:
print a,
print
big = x[0]
for i in x:
if (i > big):
big = i
print "%d is the biggest number" % big
```

In [3]:

```
# Program to find the arithmetic mean, variance and standard deviation
# Variable declaration
n = 6
x = [3.1,3.8,3.6,4.0,3.4,3.8]
summ = 0
vsum = 0
print "How many values ?",n
print "Enter all values in the list "
for a in x:
print a,
print
# Loop to find sum of all values
for i in x:
summ = summ + i
xbar = summ / n
# Loop to find the numerator vsum to find variance
for i in x:
vsum = vsum + (i - xbar) * (i - xbar)
sigmax = vsum / n
sd = sigmax ** 0.5
print "Arithmetic mean = %0.3f" % xbar
print "Variance = %0.3f " % sigmax
print "Standard deviation = %0.3f" % sd
```

In [4]:

```
# Program to calculate mean of marks and print list of marks greater than mean
# Variable declaration
n = 5
x = [58,63,68,54,48]
summ = 0 # Used summ instead of sum since it was a inbuilt function
i = 0
print "How many students ?",n
print "Enter all the marks "
for a in x:
print a,
print
for i in x:
summ = summ + i
mean = float(summ) / n
print "Mean = %0.2f" % mean
print "Marks greater than mean :",
i = 0
for i in x:
if (i > mean):
print i,
```

In [5]:

```
# Program to find sum of all positive and negative numbers and to find out which is larger in magnitude
# Variable declaration
import math
n = 6
x = [8,-12,-16,12,-9,5]
psum = 0
nsum = 0
print "How many values ?",n
print "Enter all values in the list"
for i in x:
print i,
print
# Loop to calculate sum of positive and negative values
for i in x:
if i > 0:
psum = psum + i
else:
nsum = nsum + i
print "Sum of positive values = %0.2f" % psum
print "Sum of negative values = %0.2f" % nsum
if (psum > abs(nsum)):
print "Positive sum is greater in magnitude"
else:
print "Negative sum is greater in magnitude"
diff = abs(psum) - abs(nsum)
print "Difference in magnitude = %0.2f" % abs(diff)
```

In [6]:

```
# Program to sort n numbers in ascending order
# Variable declaration
n = 4
x = [32,-10,20,5]
i = 0
print "How many numbers ?",n
print "Enter the list of 4 numbers"
for a in x:
print a,
print
# Loop to arrange the numbers in ascending order
while i < n-1:
j = i + 1
while j < n:
if x[i] > x[j]:
temp = x[i]
x[i] = x[j]
x[j] = temp
j = j + 1
i = i + 1
print "Numbers in ascending order "
for a in x:
print a,
```

In [7]:

```
# Program to search the key value and to print it if the search is successful
# Variable declaration
n = 6
x = [6,-2,8,3,13,10]
s = 3
print "How many values in the list ?",n
print "Enter all values in the list"
for i in x:
print i,
print
print "Enter the key value to be searched :",s
# loop to search key value in the list
for i in range(n):
if s == x[i]:
print s," is available in",i+1,"th location"
```

In [8]:

```
# Program to sort n numbers using bubble sort and find number of exchanges and passes
# Variable declaration
n = 4
x = [6,-2,8,3]
exchng = 0
print "How many numbers?",n
print "Enter all the numbers in the list"
for i in x:
print i,
print
for i in range(0,n-1):
for j in range(0,n-i-1):
if x[j] > x[j+1]:
temp = x[j]
x[j] = x[j+1]
x[j+1] = temp
exchng = exchng + 1
print "The sorted list is"
for i in x:
print i,
print
print "Sorted in",n-1,"passes and",exchng,"exchanges"
```

In [5]:

```
# Program to add two matrices
# Variable declaration
a = [[2,-2],
[0,4]]
b = [[6,2],
[4,-5]]
c = [[0,0],
[0,0]]
m = 2
n = 2
print "How many rows and columns ?",m,n
print "Enter A matrix"
for i in range(m):
for j in range(n):
print a[i][j],
print
print "Enter B matrix"
for i in range(m):
for j in range(n):
print b[i][j],
print
# Loop to add two matrices
for i in range(m):
for j in range(n):
c[i][j] = a[i][j] + b[i][j]
print "Resultant matrix is"
for i in range(m):
for j in range(n):
print c[i][j],
print
```

In [6]:

```
# Program to multiply two matrices
# Variable declaration
m = 2
n = 2
l = 2
a = [[2,-2],
[0,4]]
b = [[6,2],
[4,-5]]
c = [[0,0],
[0,0]]
print "Enter order of A matrix :",m,n
print "Enter A matrix"
for i in range(m):
for j in range(n):
print a[i][j],
print
print "Enter order of B matrix :",m,n
print "Enter B matrix"
for i in range(m):
for j in range(n):
print b[i][j],
print
# Loop to multiply two matrices
# iterate through rowa of A
for i in range(m):
# iterate through columns of B
for j in range(l):
c[i][j] = 0
# iterate through rows of B
for k in range(n):
c[i][j] = c[i][j] + a[i][k] * b[k][j]
print "Resultant matrix is"
for i in range(m):
for j in range(n):
print c[i][j],
print
```

In [7]:

```
# Program to find and print the transpose of the matrix
# Variable declaration
m = 2
n = 3
a = [[-3,6,0],
[3,2,8]]
at = [[0,0],
[0,0],
[0,0]]
print "Enter order of the matrix :",m,n
print "Enter the matrix values"
for i in range(m):
for j in range(n):
print a[i][j],
print
# Loop to calculate transpose
for i in range(m):
for j in range(n):
at[j][i] = a[i][j]
print "The transposed matrix is "
for i in range(n):
for j in range(m):
print at[i][j],
print
```

In [8]:

```
# Program to check whether a given matrix is symmetric or not
# Variable declaration
m = 3
a = [[5,3,8],
[3,1,-7],
[8,-7,4]]
print "Enter order of the square matrix :",m
for i in range(m):
for j in range(n):
print a[i][j],
print
# Loop to check whether symmetric or not
for i in range(m):
flag = 0
for j in range(m):
flag = 0
if a[i][j] == a[j][i]:
continue
else:
flag = 1
if flag == 0:
print "The given matrix is a symmetric matrix"
else:
print "The given matrix is not a symmetric matrix"
```

In [4]:

```
# Program to find the trace of a given square matrix
# Variable dclaration
m = 3
a = [[3,2,-1],
[4,1,8],
[6,4,2]]
summ = 0
print "Enter order of the square matrix :",m
print "Enter the matrix"
for i in range(m):
for j in range(m):
print a[i][j],
print
# Loop to find trace
for i in range(m):
summ = summ + a[i][i]
print "Trace of the matrix =",summ
```