Question

In: Advanced Math

Linear algebra matrix

Exercise 14. Find the inverse of each matrix (if exists) below: 

Solutions

Expert Solution

Solution

Dear everyone!! I would like to share some solution of TD1-Matrix  of Linear algebra with you even you learn from other teacher (keep it as references).

Solution to TD1-Matrix for some exercises. some questions are still updating. if there is any mistake please kindly correct by yourself. Thank you

Find the inverse of each matrix (if exists) below:


Related Solutions

Linear algebra Matrix
Let A ∈ Mn(R) such that I + A is invertible. Suppose that                                     B = (I − A)(I + A)-1(a) Show that B = (I + A)−1(I − A)(b) Show that I + B is invertible and express A in terms of B.
Linear algebra matrix
Exercise 13. Let A = (aij)n ∈ Mn(R) where aij = cos(i + j) for i, j = 1, 2, . . . ,n. Find rank(A).
Linear algebra Matrix
Exercise 11. Find the rank of matrix A where A, B and C
Linear algebra Matrix
excerses. Find the matrix X ∈ M2(R) satisfies the equation                 
Linear algebra matrix
Exercise 15. Solve the system of linear equation unknow
Consider the general linear model ? = ?? + ?. Use matrix algebra to show that...
Consider the general linear model ? = ?? + ?. Use matrix algebra to show that ?̂ is an unbiased estimator of ?. the last ? has bar
Linear algebra
(a) Are there matrices A,B∈Mn(R)A,B∈Mn(R) such that AB−BA=IAB−BA=I. (b) Suppose that A,B∈Mn(R)A,B∈Mn(R) such that (AB−BA)2=AB−BA(AB−BA)2=AB−BA. Show that AA and BB are commutable.
Linear algebra Determinant
Exercise 2. In S8, write the following permutations into cyclic form, then determine their signature.(a) 85372164                  (b) 87651234                     (c) 12435687
Linear algebra Determinant
Exercise 4. For n\inN* , compute the signature of the following permutations.
Linear algebra Determinants
Exercise 7. Let A and B be invertible matrices. Show that
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT