Verify that GLz(R) is a qroup under the matrix mu lti plication. a 3 all 2x2 invertible matrices O Show by counterexample that GLz(R) is not abelian, T choose A,B 6.t A*B#B*Aas e

Q: Let O(2, R) be the set of 2 x 2 orthogonal matrices. Describe all of the O(2, R)-conjugacy classes.

A: (1) Two elements x and y of a group G are said to be conjugates if there exists an element g in the…

Q: Suppose that Q is a matrix with the property Q−1 =QT . Show thatqij = Qij/det(Q)

A: Given: Q-1 = QT To Prove: qij = Qij/det(Q) Formula Used: If A is a square matrix, then its inverse…

Q: If the matrices A and B are conformable for sum A+B the product AB then prove that (A+B)" = A" +B"…

A: Prove that. (a).A+BT=AT+BT(b).ABT=BTAT