Matrices with Matlab
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Given A = [ 2 0 4 B = [ 3 5 2
1 4 -1 0 8 4
3 1 2] 1 0 9]
C = [ 1 D = [ 1 4
2 -2 3]
3]
Respond to the following:
Q21. What is the transpose of A?
Q22. Solve for the determinant of A.
Q23. Calculate the inverse of D.
Q24. What is the product of A x C?
Q25. What is the rank of B?
Q26. Compute the sum of A + B.
Q27. What is the product of 3 x D?
Q28. Calculate the product of C x D.
Q29. Write a set of equations that describe the matrix equation Ax X = C.
Q30. Show that A+B = B+A
Q31. Show that A x B is not equal to B x A.
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Solution Summary
Performing matrix algebra such as adding and multiplication of matrices.
Solution Preview
The following is the output from a MATLAB file used to respond.
initialize matrix
A = [2 0 4; 1 4 -1; 3 1 2];
B = [3 5 2; 0 8 4; 1 0 9];
C = [1; 2; 3];
D = [1 4; -2 3];
transpose of A
Q21 = A'
Q21 =
2 1 3
0 4 1
4 -1 2
Determinant of A
Q22 = det(A)
Q22 =
-26
Inverse of D
Q23 = inv(D)
Q23 =
0.2727 -0.3636
0.1818 0.0909
Product of A x C
Q24 = A*C
Q24 =
14
6
11
Rank of B
Q25 = rank(B)
Q25 =
3
Sum of A+B
Q26 = A+B
Q26 =
5 5 6
1 ...
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