1. Find the inverse of the following matrices: (a) The Hadamard matrix (b) The Pauli matrices X, Y and Z 2. Consider the matrix M = 1+i 1-i Find the value of a such that U = 2M is a 1-i 1+i unitary matrix. Describe the action of this gate on a qubit. 1. Find the inverse of the following matrices: (a) The Hadamard matrix (b) The Pauli matrices X, Y and Z 2. Consider the matrix M = 1+i 1-i Find the value of a such that U = 2M is a 1-i 1+i unitary matrix. Describe the action of this gate on a qubit