Question

command or explanation. 3. Given the matrix A [3 7 4ti 5; 0 -i -1 4; 3 8 4 -1] where i represents the imaginary number, run each of the commands below and explain the observed result. a. A c. A(10) f. A (I1 3], 13 2]) g. [A: A (end-1,:)1 h. A(, 12 4 1 3]) k. 1. m. n. o. p. sum (A) sum (A, 2) [A; sum (A) ] numel (A) B = reshape (A, 1, nume 1 (A) ) [r, c] size (A) [x,y] size (B) r. length (B)

Need help.

Answer 1

A = [ 3 7 4+i 5; 0 -i -1 4; 3 8 4 -1]
A =
   3.0000 + 0.0000i   7.0000 + 0.0000i   4.0000 + 1.0000i   5.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 - 1.0000i -1.0000 + 0.0000i   4.0000 + 0.0000i
   3.0000 + 0.0000i   8.0000 + 0.0000i   4.0000 + 0.0000i -1.0000 + 0.0000i
>> A'
ans =
   3.0000 + 0.0000i   0.0000 + 0.0000i   3.0000 + 0.0000i
   7.0000 + 0.0000i   0.0000 + 1.0000i   8.0000 + 0.0000i
   4.0000 - 1.0000i -1.0000 + 0.0000i   4.0000 + 0.0000i
   5.0000 + 0.0000i   4.0000 + 0.0000i -1.0000 + 0.0000i
>> %1. The complex conjugate transpose of a matrix interchanges the row and column index for each element. The operation also negates the imaginary part of any complex numbers.
>>
>>
>> A.'
ans =
   3.0000 + 0.0000i   0.0000 + 0.0000i   3.0000 + 0.0000i
   7.0000 + 0.0000i   0.0000 - 1.0000i   8.0000 + 0.0000i
   4.0000 + 1.0000i -1.0000 + 0.0000i   4.0000 + 0.0000i
   5.0000 + 0.0000i   4.0000 + 0.0000i -1.0000 + 0.0000i
>> %2. The trasnspose(') of a matrix returns the nonconjugate transpose of that matrix, interchanging the row and column index for each element, without affecting the sign of the imaginary parts.
>>
>>
>> A(10)
ans =
     5
>> %3. The data is stored in memorey columnwise, ie in order (3,0,3,7,-i,8....). Hence A(10) acceses 10th element in the list which is 5.
>>
>>
>> A(3,1)
ans =
     3
>> %3. Access third row, first column element whiich is 3.
>>
>>
>> A(:,[1:3]
A(:,[1:3]
          ?
Error: Expression or statement is incorrect--possibly unbalanced (, {, or
[.

Did you mean:
>> A(:,[1:3])
ans =
   3.0000 + 0.0000i   7.0000 + 0.0000i   4.0000 + 1.0000i
   0.0000 + 0.0000i   0.0000 - 1.0000i -1.0000 + 0.0000i
   3.0000 + 0.0000i   8.0000 + 0.0000i   4.0000 + 0.0000i
>> %4. : represents selection of all possible values in the matrix. Here row assumes all values possible and column from 1 to 3 are displayed. That is 4th column is omitted.
>>
>>
>> A([1 3],[3 2])
ans =
   4.0000 + 1.0000i   7.0000 + 0.0000i
   4.0000 + 0.0000i   8.0000 + 0.0000i
>> %5. It assumes the format of [A(1,3) A(1,2) ; A(3,3) A(3,2)]
>>
>>
>> [A; A(end-1,:)]
ans =
Columns 1 through 3
   3.0000 + 0.0000i   7.0000 + 0.0000i   4.0000 + 1.0000i
   0.0000 + 0.0000i   0.0000 - 1.0000i -1.0000 + 0.0000i
   3.0000 + 0.0000i   8.0000 + 0.0000i   4.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 - 1.0000i -1.0000 + 0.0000i
Column 4
   5.0000 + 0.0000i
   4.0000 + 0.0000i
-1.0000 + 0.0000i
   4.0000 + 0.0000i
>> %6. It prints A matrix completely. end of A = 3. Hence A(end-1;:) prints the second row as a new row
>>
>>
>> A(:,[2 4 1 3])
ans =
   7.0000 + 0.0000i   5.0000 + 0.0000i   3.0000 + 0.0000i   4.0000 + 1.0000i
   0.0000 - 1.0000i   4.0000 + 0.0000i   0.0000 + 0.0000i -1.0000 + 0.0000i
   8.0000 + 0.0000i -1.0000 + 0.0000i   3.0000 + 0.0000i   4.0000 + 0.0000i
>> %7. : selects all possible 4 rows. [2 4 1 3] selects and inserts 2nd,4th,1st,3rd columns repectively.
>>
>>
>> A(1:2,:)=[]
A =
     3     8     4    -1
>> %8. [] deletes the entry of a mtrix. Here two rows are deleted.
>>
>>
>> A(3:4,:) = [2:3:11;5:8]
A =
     3     8     4    -1
     0     0     0     0
     2     5     8    11
     5     6     7     8
>> %9. Adds rows 3 and 4.(Row to initialised to 0 automatically). Values using step function.
>>
>>
>> sum(A)
ans =
    10    19    19    18
>> %10. Prints cloumnwise sum.
>>
>>
>> sum(A,2)
ans =
    14
     0
    26
    26
>> %11. Prints rowwise sum of matrix. sum(A,2) operates on successive elements in the rows of A and returns a column vector of the sums of each row.
>>
>>
>> [A; sum(A)]
ans =
     3     8     4    -1
     0     0     0     0
     2     5     8    11
     5     6     7     8
    10    19    19    18
>> %12. Prints A matrix completely. Adds sum(A) as a 5th row
>>
>>
>> numel(A)
ans =
    16
>> %13. Returns number of elements in A
>>
>>
>> B = reshape(A,1,numel(A))
B =
Columns 1 through 13
     3     0     2     5     8     0     5     6     4     0     8     7    -1
Columns 14 through 16
     0    11     8
>> %14. Reshapes A matrix with 1 row and 19( numel(A) ) columns. Columnwise order is followed as always.
>>
>>
>> [r,c] =size(A)
r =
     4
c =
     4
>> %15. Returns size of matrix in rows and columns. A is 4x4 matrix.
>>
>>
>> [x,y] =size(B)
x =
     1
y =
    16
>> %16. Returns size of matrix in rows and columns. B is 1x16 matrix.
>>
>>
>> length(B)
ans =
    16
>> %17. length(A) returns the length of the largest array dimension in A. For vectors, the length is simply the number of elements
>>

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