? ? ? ? ? Determine whether the given set S is a subspace of the vector space V. 1. V = RXn, and S is the subset of all upper triangular matrices. 2. V = RXn, and S is the subset of all symmetric matrices. 3. V = R³, and S is the set of vectors (x₁, x2, x3) in V satisfying x₁ - 7x₂ + x3 = 6. 4. V = P5, and S is the subset of P5 consisting of those polynomials satisfying p(1) > p(0). 5. V = C¹(R), and S is the subset of V consisting of those functions f satisfying f'(0) ≥ 0. Notation: P₁ is the vector space of polynomials of degree up to n, and C" (R) is the vector space of n times continuously differentiable functions on R.

Q: 8 15

A:

Q: 1 Evaluate. 5P3 • 6C4 900 300 150

A: Use the formula and evaluate.

Q: 2. 7. 58

A:

Q: 5 23 4 48 1 5 75

A: Given       5  2 3 − 4 4 8¯      1  5 7 5

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: What about 9 and 11?

A:

Q: 4 ÷ 647

A: See the details solution in below

Q: How many does 5 apple and 4 orange together ?

A: Consider the given information as Apple are 5 and orange are 4