Enter the zero element zero vector for each vector space Use

Enter the zero element (zero vector) for each vector space. Use the following syntax to enter your answers. Enter the vector (1, 2, 3) using . Enter the matrix [1 2 3 4] using [[1, 2], [3, 4]]. Enter the function f(x) = x^2 - sin(x), including the part f(x) = The zero vector of the vector space R^3 is The zero vector of the vector space of 2 Times 2 matrices is The zero vector for the vector space of all functions f : R rightarrow R is

Solution

1.The zero vector of the vector space R³ is < 0,0,0>

2. The Zero vector of the vector space of 2x2 matrices is [ [ 0,0] , [0,0]]

3. The zero vector for the vector space of all functions f: R R is f (0)