On this problem only your response should consist of a word

On this problem only, your response should consist of a word, phrase or symbol; you need not justify your answer, (a) True or false: If u and v are orthogonal, they are linearly independent. True or false: if u and v are linearly independent, then they are orthogonal. True or false: If A and B are similar nxn matrices, then they have the same eigenvalues. Suppose A and B are 3 x 3 matrices with dct(A) = 4 and det(AB?) = -12. What is det(B^-)? If A is a 4 x 4 matrix with characteristic polynomial t \' + 13 and B is a 4 x 4 matrix similar to A. what is the characteristic polynomial of B1 What values of k make the matrix not invertible?

Solution

a) TRUE

b) FALSE

c) TRUE

d) -1/3

e) t⁴+13

f) 2/3