Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O S is a basis for R3, O s is not a basis for R3. If S is a basis for R°, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, S2, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S={ s1 = (2,-1,3),   s2 =(5,0,4)} a) To write (-1,-2,2) as linear  combination of s1 and s2

Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: Calculate v x w = (u1,u2, u3). v = (9,5, 4) w = (-4, 8, –5) (Give your answer using component form…

A:

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: The figure shows a basis B = {bj,b2 } for R² and a vector v in R?. y b1 b2 Custom basis B = {b1, b2…

A: Let B={b1,b2} be a basis for ℝ2 and v∈ℝ2.

Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

A: Ans:

Q: v = (9,5,6) w = (-8,4,-7) = J

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Refer to the vectors below. b = [4, 3, 1] c = [1, -4, 1] d = [−1, −1, −3] Compute the indicated…

A: