Exercise 4.1 (a) Use MATLAB to compute the determinants of the following matrice
ID: 3721534 • Letter: E
Question
Exercise 4.1 (a) Use MATLAB to compute the determinants of the following matrices: A+B, A B, AB,A1,BT Recall: In MATLAB the transpose of a matrix is denoted with an apostrophe; i.c. BT is given by the command ?' (b) Which of the above matrices are NOT invertible? Explain your reasoning Now we know the determinants of A and B, but suppose that we lost our original matrices A and B. Which of the determinants in part (a) will we still be able to recover, even without having A or B at hand? Explain your reasoning. 9)Explanation / Answer
Solution:
a)
The commands are
>> X= A-B
>> det(X)
>> X= A+B
>> det(X)
>> X= A. B
>> det(X)
b)
det of matrices A.B and BT is not possible since they are changing the dimension of the current matrix.
c)
Ainverse will be able to recover the matrices.
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