B1 Be ß1 and B2, bases of R´, and denote by [1] the base B2 change matrix B1 to the base B2 . Given a vector v ER“, denote by [v]ß1 the coordinates of the vector v in relation to the base Bi, 1= 1,2. we 5 -2 -9 and [v] 1 determine B2 -2 4 [v]• Justify. B1

Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

A:

Q: Perform the following steps in R. Answer the questions in parts where there are questions. Attach R…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

A:

Q: Consider the following vectors: 2 4 3 8 -3 c²= -8 -3 3 7 For each of the following vectors,…

A: Given that              a→=23-33, b→=48-85, c→=2-367

Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

A:

Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: 3 Find the length of the vector i -1 -5

A: For any vector x= [a  b  c] it's length is given by ||x||= √(a^2+b^2+c^2) Given vector x=[3  -1  -5]…

Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

A:

Q: Find a vector orthogonal to both = 10 2 and w = 2

A:

Q: Use the given vectors to compute u + v, u − v, and 5u − 3v. u = (5, −2),    v = (7, 6)

A:

Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

A:

Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

A:

Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

A:

Q: Write down two unique non-zero vectors à and b in the 5th dimension, R5 (no entry should be 0). a.…

A: The main objective is write two non zero vectors in ℝ5. Find the given values.

Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

A:

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: Define B = {b1, b2} and C = {c1,c2} for the vectors given below. First show that B and C are both…

A:

Q: write the following vectors as linear combinations of e1, e2 and e3

A: What is Linear Combination: For a given vector v∈VF, it is referred to as linear combination of…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6. A small metal bar, whose initial temperature was 20°C, is…

A: Given,Initial temperature is .Then,Then, by the formula of of Newton's law of heating we…

Q: Given the points A(-6, 4) and B(-3, 5), express | the vector AB in terms of i and j.

A:

Q: Let u = [1, -6, 3] and v= [-3, 3, 0]T. Find the vector w = 3u - 2v and its additive inverse. W= W=…

A: The given vectors and .We have to find the vectors and find its inverse.

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.