# Math Help - Diagonalizability!!!!! Urgent!

1. ## Diagonalizability!!!!! Urgent!

Test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.

V = M2x2 (R) & T is defined by T(A) = A^T (A transpose)

2. That does NOT define a matrix. Do you mean "show that any matrix, A, such that $A= A^T$ is diagonalizable"? What is the definition of $A^T$?