Given the ordered basis -8 6 Α1 - B = = {A₁ A₁ = A2 = -3 7 -7 0 A3 = A4 = -8 -5 -9 2 = [ 6 0 3 [36 97]} find [A]B, the coordinates of A Ex: 5 = -6 -7 8 10 24 40 [V] B = = with respect to B.

Q: Are the following two sets of coefficients orthogonal? -1, 0, 0, 1 -1, 1, 0, 0 Yes No

A: Given data is as follows: -1,0,0,1 -1,1,0,0 Yes the following sets of coefficients are orthogonal as…

Q: Q1: Let A [1 2 3;4 5 6;7 and B-19 8 7 6 5 4 3 2 1 C=[1 2 3; 4 5 6;7 8 9] Find A-4 B-3C ?

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Q: Q1) If A- ,B-3 13| Find (–1 x A) + (B+ C)

A: Given that,       A=411-2-193,  B=-5-134013,  C=75-6-19-1

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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Q: o 0 11 1 3 1 1 4 0 4 0 B.Fd the QR factorization of A=

A: QR factorisation of A.

Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

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Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 5. (15 pts) Find both of the products AB and BA, if possible, where -4 A = 0 3 -21 -1,B= 2 3 1 -2 62…

A: Multiplication of two matrices A and B is possible if and only if the number of columns in the first…

Q: Suppose ū=i- j, v = −2i + 4j+3k and w = -5i + 4j. Compute the following values: |u| + |v|=| |-6u|…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: -1 -4] [7 111 5 ,B = |2 [4 -8 Find AB, given A -1 7. 3

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Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

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Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: If u = 7i - 2j + 3k and v = -i + 3j +5k then Projuv is a- 62 62 10 b- +j+k 35 35 62 10 d-i+j+k 35 35…

A: Given vectors are, u=7i^-2j^+3k^  and  v=-i^+3j^+5k^ Now projection of v on u is given by.…

Q: |5πx 106 (4π10-7) [1+ j]J 4

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Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Find A. A = = (2A)-1 1 1 || 4 [61] -4 11 6

A: Given  2A-1=6411 Inverse of a matrix X=abcd is given by  X-1=1ad-bcd-b-ca

Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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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: Find the value of S in (3A +4Si)(6-7i) = 3+5i

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Q: 142 If A = -4 4 30 Then 4A + B = -4 -3 and B and B = 2 4 00 3 3 -2 1 1 1

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

Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

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Q: Compute det B4 where B = det B4 202 2 2 3 222 = (Simplify your answer.)

A: Given query is to find the determinant of the matrix.

Q: 9. 12 (7x + 5) TW

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Q: For each of the following pairs a, b of integers, find the highest common factor d = hcf(a, b), and…

A: The hcf (highest common factor)of two integers, ' a ' and ' b ', is the largest number that divides…

Q: 7. (4+ 3j)³+4j 8. (3 – 2j)i

A: Principal value of ab is P.V.ab=ebLog(a) Log(z)=logz+j tan-1yx Where, z=x+iy

Q: 7(-4x - 1) = 5(-6x + 5) Question 22 u-k-x, for x 0 x = ku Ox=-u-k k X=- U x=-u+k Question 23 g=a+c,…

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Q: l and B= R 3 Q1) Find B - 3A Where A = 2 1 -31 B = 2 -2 %3! 1 10 2 -61 -3 -21

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