Question 1 Not yet answered Marked out of 5.00 1? Flag question The degree of any polynomial must be 4 in the vector space P4 . Select one: Q True O False Question 2 Not yet answered Marked out of 5.00 Flag question The set is a basis for the vector space R3. Select one: O True O FalseQuestion 3 Not yet answered Marked out of 5.00 Flag question Let A be an 3 x 3 matrix and det(A ) is equal to 4. Then, Cramer's Rule can be used to solve the system Ax = b. Select one: O True O FalseQuestion 4 Not yet answered Marked out of 5.00 Flag question The set is a linearl independent set in R3. Select one: TrueQuestion 5 Not yet answered Marked out of 5.00 'F Flag question Which of the following belongs to P3 : 0 All of them Question 6 Not yet answered Marked out of 5.00 F Flag question Which of the following determinant is required to solve for x2 in the system 10 8 7 XI 7 15 12 X2 -2 by using 8 10 -4 X3 the Cramer's Rule? 10 4 H -2 12 -4 4 8 7 K = -2 15 12 10 -4 10 8 4 L = 7 15 -2 8 10 10 8 7 M = 4 -2 1\fQuestion 7 Not yet answered Marked out of 5.00 Flag question Let S = vector u the set S spans R3? Select one: O any vector of R3 O none of the others O 4 3 O O O OQuestion 8 Not yet answered Marked out of 5.00 F Flag question Dimension of P1 is Select one: 0 None of the others 0 1 Question 9 Not yet answered Marked out of 60.00 Flag question O 1. Given the vectors v1 = 3 U2 = 0 and v3 = 3 in N 2 R3 o (a) (15 points) Determine whether the vector v = belongs to span {v1, 02, 03 }. o (b) (15 points) Determine whether the set S = {v1, U2, U3 } is linearly independent in R' or not. Are U1, U2, and u3 a basis for R3? 2.Let W be the set of all vectors of b the form a + b . where a and b are realo (a) (15 points) Determine whether the vector U = belongs to span 3 (v1, U2, U3 ). o (b) (15 points) Determine whether the set S = {v1, U2, v3 } is linearly independent in R or not. Are v1, U2. and u3 a basis for R3? 2.Let W/ be the set of all vectors of the form | a + s . where numbers. (a) (10 points) Determine whether the vector 2 belongs to W, or not. (b) (20 points) Determine whether W is a subspace of R . Justify your