How can I achieve this camera effect?

as willmotil mentioned

store forward vector and reconstruct view matrix from it

    public Vector3 position = Vector3.Transform(new Vector3(0, -10f, 10f),
    Matrix.CreateRotationY(MathHelper.ToRadians(45)));
    public Vector3 lookAtVector = Vector3.Transform(new Vector3(0, 0, 0),
        Matrix.CreateRotationY(MathHelper.ToRadians(45)));

    Vector3 _forward;

    public void Init()
    {
        _forward = Vector3.Normalize(lookAtVector - position);
    }

    public Matrix ViewMatrix
    {
        get
        {
            var upVector = Vector3.UnitY;
            Matrix rotation = Matrix.CreateRotationY(MathHelper.ToRadians((float)angle));

            Vector3 newposition = Vector3.Transform(position, rotation);
            return Matrix.CreateLookAt(newposition, newposition + _forward, upVector);
        }
    }