Given two n x 1 vectors with arbitrary real entries: a = Which of the following computes in MATLAB? a1 a2 an |a₁b₁| + |a₂b₂|+...+anbn| b= bi b₂ bn

Q: solve all 132 q5

A: Step 1: Step 2: Step 3:Step 4:

Q: One of the following vectors lies in span{ 2+x + x?, 3+x- 2x2} (A) 4+ x – 7r² (B) 4+ x – 4x? (C) 4 +…

A: Solve the following

Q: Draw vector 1/2CD - 2FE

A:

Q: 9 One requirement can be met while the other fails. Show this by finding (a) A set of vectors in R²…

A:

Q: Let A and B be vectors in R. Show that ||A|| = || B|| if and only if A+ B is orthogonal to Ã- B.

A: To solve the given orthogonality problem related to vector.

Q: Given three non-zero vectors, a, b & C, is it possible to evaluate a b Explain with an example. •6•²

A: We have given three non-zero vector.

Q: If p = a₁ + a₁x + a₂x² and q = bo + b₁x + b₂x² are any 2 vectors in P². Defined function: f(p, q) ==…

A:

Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

A: Solution

Q: Determine the real value/s of c such that the following vectors are linearly independent: 4 - 2 -6 6…

A:

Q: 2. 4 7 X•w Compute w • w, x•w, and using the vectors w=-1 and x = w•w - 5 3 w•w = (Simplify your…

A:

Q: Given the vectors (1 10), (0 2 3), (1 2 3) in R3. Given vectors are linearly independent. Select…

A:

Q: 4

A: We are given the following vectors.

Q: }] respectively. Let y = and u = . Write y as the sum of two orthogonal vectors, y, in the span of…

A:

Q: Consider the vectors U₁ = 2x² + 2x - 1 and U₂ = -x² - 3x + 1 in P₂. Which of the following vectors…

A: Vectors v1=2x2+x-1 and v2=-x2-3x+1. To find the vectors that are linear combination of v1 and v2.

Q: Using the vector r=[0.5 + e-(=/3), €-(2/6), 2], determine the difference between the transpose()…

A: % the value of pi pi=22/7 ; % define given vector rr=[0.5+e^(-j*pi/3) ,e^(-j*pi/6),2 ];fprintf('The…

Q: Is the following set of vectors linearly independent? {B} 2 5 9

A:

Q: Q2. Let a vector A = [8-463] a) Compute the square of each element. b) Compute the square root of…

A:

Q: Given the vectors Â=2a_+5a_+7a_ B= a +6a +3a X Evaluate the following |B|a¸ −3Ã O 4.4641a-11.1603a -…

A:

Q: Given that 7 write 3 5 7 3 5 -2 2 3 7 -1 2 2 3 3 125 100 010 -5 001 3 as a linear combination of the…

A:

Q: Find the best approximation to z by vectors of the form C₁V₁ +₂V₂. Z= 4 5 3 4 3 -2 0 1 V₂ = 1 1 -3…

A: Given:  z=c1v1+c2v2 z=4-534, v1=3-201, v2=11-3-1 For two vectors a→ & b→ If a→.b→=0⇒a→⊥b→ which…

Q: 6. Determine if the vectors à = [−1, 5, 3], b = [−2, 4, 7], and ₹ = [10,7,1] ar are coplanar.

A:

Q: Find the length of the projection of [−8 −7]onto the vector [−7 5]   Its written vertically…

A:

Q: Given the vectors A=2a + 5a +7a₂ X y B=-a +6a +3a_ y 2 Evaluate the following Ba-3A O-2.5021a…

A: Given: The given vectors are:                        A→=2ax+5ay+7az…

Q: 2 Express each of the following vectors in R² as linear combinations of the vectors [2] and (a) (b)…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A:

Q: a. Express each column vector of AB as a linear combination of the column vectors of A. b. Express…

A: a. To express each column vector of AB as a linear combination of the column vectors of A, we can…

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: h 2 S4 2- h 45 LT 2 0 O

A:

Q: 5. For which real values of à do the following vectors form a linearly independent set in R³?

A: Solution; Consider the given vectors are: v1→ = λ, -12, -12v2→ = -12, λ, -12v3→ = -12, -12, λ Since…

Q: d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of…

A: Given:x=285971 and b=245To find:a) The maximum and minimum of x.b) add the vector b as a third row…

Q: 9. Find all real values of c such that the vectors and +3 are linearly independent.

A:

Q: Prove that in P2 (the set of all polynomials with degree n< 2), every set with more than three…

A: Linearly dependent set:  A set of vectors α1, α2,α3, … ,αn is said to be linearly dependent if ∃ c1,…