m = b If a = OA and b OB, prove that OP P = n na +mb m+n B

Q: 2 If A = 3 2 3 4 B = 2] 2 3 3 and C = -1 then (BCT)T – CBT – A= - Select one: [ 10 O A. 10 1 O B.…

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Q: i) (i x j).k = 2.

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Q: If [1 2 3 A = 3 -1 3] -1 0 2 23 1 of Find 2A - B stion Select one: a. none O b. -153 -5 6 0] O C.…

A: Solve the matrix

Q: Let u = 4 + 3i and v= 6 + 1i. Then u+v= น-บ= Uxv= + + + u÷v= + rea e e Hint: Remember that

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Q: Which of the following is false? A. Ine =1 В. еxp (0) — 1 C. In1=0 D. exp(In0)=0

A: Use the basic property of number.

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

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Q: If A = [a] and Oa=c+d 01+d+a-2c=0 O a=1-d+c and B = -61 . Determine the condition for which det (A +…

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Q: B 11 13 b.) Find ZB 33 A

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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: Find the argument of 1+i ал with integer a,b b write your answer as a/b for Arg (1+i) =-

A: We have to find the argument of 1+i in the form of arg(1+i)=aπb with integer a, b.

Q: Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the…

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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: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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Q: f 5/6 1-Find the product and underline your answer in the right. Reduce answer to lowest term 2/3 of…

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Q: 13A) Find m/VWX 10x+14 4x + 21 15,

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Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

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Q: Q2/ Prove that : A. (B.C+ BC). (A + B + C) + (B.T + B.C+A.C+A).C+ (A. B.T + Ā.B.C + A) + A = 1

A: In the question it is asked to solve Boolean expression given below.

Q: Let A = and B = is the Sum of the entires What Nrrt it Jt Jton

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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: Calculate the convolution: x * 2 * e2* . x2 e2a O a. 4 4 8 e2a Ob. 4 4 8 - 4 2 4 O d. 1 x2 e2æ 4 2 4…

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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: Q.31 If a+b+c=5 and ab+bc+ ca=10, then prove that a +b³ +c³ – 3abc=-25 Q.32 Prove that :

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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: D -7 = -9+ V12 – a 2) 0 = 4v-6 –n 3) 7v12x + 4 = 56

A: Given equations are  (1) -7=-9+12-a (2) 0=4-6-n (3) 712x+4=56

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: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

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: 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: Let A = [2 [2 B = 0 3 C = Ls : 1: Find, if possible: 3 and C = [4 a.) АВ b.) BA с.) 2A -3С

A: A=3-1-22, B=2-10340,C=02-54a)-ABTo find the product of matrices AB As we know that if the dimensions…