Let A=  2 5 -3 1 and B=  4 -5 3 k . Find k such that AB = BA

Q: Find a b. a = 61 + , b-1 - 9) + k

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Q: 6. 3c2 - 5c for c = 3 76 8. 5a 3b + 5 for a = 4 andb 3 %3D

A: To find the values of the given expressions (6) 3c^2-5c at c=3 (8)5a-3b+5 at a=4 and b=3.

Q: 1. Let U = {1,2,3,4,5,6,7},A= {l,2,3,4}, B (3,4, 5}, C = {2,3,4,5,6}. Find the following: %3D a. AUB…

A: Given,U=1,2,3,4,5,6,7A=1,2,3,4B=3,4,5C=2,3,4,5,6

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

A: Given: a=i-j+k, b=4i+5j-k, c=-i+j+4k To evaluate: a·b×c Cross product of two vectors r→=ai^ +…

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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Q: Let à = 2i +4j - k. Find a.

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Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

A:

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Let V4 = 4 V2 = V3 = -2 Pi -2 P2 2 2 and S = {v1, v2, V3, V4}. Determine whether pl and p2 are in…

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Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: Find -x if а. х — — 6 b. x =

A: a) Find -x. Given that, x=-6 So -x=--6        Substitute x=-6=6 Hence -x=6

Q: Let ū = (6, 0, – 5) and v = ( – 5, - 3, – 7). 4й + З

A: given: u→=6,0,-5 and v→=-5,-3,-7 we have to find 4u→+3v→

Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have

Q: Let A = {−1, 3, 2} and B = {1, 2, 6}. Find A N B. ○ {2} O{-1, O{-1, 2, 3, 6} O{-1, 3} 1, 2, 3, 6}

A: Option AExplanation:Given:A = {-1, 3, 2}B = {1, 2, 6} Solution:A ∩ B denotes the common values…

Q: b. Find A and B so that A = 27 = P(A, B). and B =

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Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: If z 2 = Rep, then write za+iß as Ae B

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Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

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Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Let A, B, and C are three sets, prove that Bx(AUC)=(B× A)U(B×C)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Let z₁ = 7 - ni, 2₂=2 m+ 3 i, and Z3=4-7 i If 2 Z₁ + Z₂ + 2 z3 = 28+5 i,find m and n: m n=

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Q: -a b Evaluate-2a +4x 2b-4y x с 2b-4y 2c +4% -Y

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Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

Q: MR=5(a+9) and MP=13a+42

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Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Evaluate the expresslon when a=7 and x=-3. -a+6x

A: A detailed solution is given below

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

A: