I need help solving a Matrix Algebra worksheet for my MATH 2010 computer lab. WITHOUT (Ai)
This worksheet focuses on matrix identities and matrix powers using MATLAB.
Part 1:
Let A and B be 22 matrices and I be the 22 identity matrix.
Determine whether the following statements are true or false for any square matrices:
(a) (AB)^T = A^T B^T
(b) (A + I)(A I) = A^2 I
(c) (A + B)(A B) = A^2 B^2
If a statement is false, construct specific matrices A and B in MATLAB and demonstrate that the left-hand side and right-hand side are not equal. Show MATLAB commands used.
Part 2:
Given the matrix
A =
[0.5 0.3 0.2
0.2 0.8 0
0.3 0.3 0.4]
Compute:
A^5, A^10, A^20
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