Question

A commonly used matrix operation in linea alpebrais matrix matrix multiplication. Write a script that reads a matrix M from the that this is different from the clement wise Squaring of the matrix ( M 2). To do this, follow these steps income che of them (M2) Note a. Read a 2x2 matrix from the user and store it in M. Make sure you let the user know what to input b. Print the dimensions of the matrix, M, entered by the user Extract the 1M row of M and store into R1 and the 1st column of Mand store into C1 d. Compute the scalar dot product of R1 and CI, which should be a number (scalar) To do this, de an element we multiplication between RI und Cl and compute the son of the resulting vector. This would require Rl and Cl to have the same size, so make sure you remember to transpo CIO RI before performin the element wise multiplication Store the result (scalar) in PII ComputeP22 (scala de product of R2 and C2), P12 (scale dot product of RA and C and P1 cale de product of R2 and - IP11 P12] Construct a matrix P P21 P221 Compare with the matrix 0-M9 Do they match?

matlab progam

Answer 1

CODE:

#a
M=input("Enter a 2X2 matrix::\n")

#b
dimensions=size(M)

#c
R1=M(1,:)
C1=M(:,1)
R2=M(2,:)
C2=M(:,2)

#d
P11= dot(R1,C1)

#e
P12=dot(R1,C2)
P21=dot(R2,C1)
P22=dot(R2,C2)

#f
P=[P11,P12;P21,P22]

Q=M*M

compare=P-Q

Sample Output::

Enter a 2X2 matrix::
[1,2;4,5]
M =

1 2
4 5

dimensions =

2 2

R1=

1 2

C1 =

1
4

R2 =

4 5

C2 =

2
5

P11 = 9
P12 = 12
P21 = 24
P22 = 33
P =

9 12
24 33

Q =

9 12
24 33

compare =

0 0
0 0