Find the solution set for the equation AX = b where [o -1 0 21 O 27 a) A = -1 10 1 Deduce from this, find that the null space of A b) What is the left null space A? c)

Q: b let fl) = an+b and g) = Cn+d where a,b;c and d Constant. Detemine for which constant a,b;c and d…

A: The objective is to find the constants a, b, c and d such that fog=gof where fx=ax+b and gx=cx+d

Q: Simplify: (V3+ V5) O 16 – 3/15 O 8 O 2/15 O 8+ 2/15

A: Solution : Given data, (√3+√5)2 =?

Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

A: Given the system of equation is AX=0 where

Q: Find the solution(s) in the set W for each of the following parts a) through h). a) 20 – x=x+6 O A.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which theorem can be used to prove that ARQM APMQ H R P M

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Q: obtain 2- transform for the flow ing xCt) = tCt- 2T)

A: We have to use z transform table.

Q: Suppose A if A and A" have different left null spaces then O a a= 0 O b. a= 15 Oc a= 6 1da=3

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Q: [t +3 If A = -1 6. t- 3 -6 one of the following must be true? 1 t+ 4] A) The rank is 3 ift#-4, B)…

A: Rank of the Matrix, and it's properties

Q: P(X=x) 0,10 0,20 0,30 0,40 P(3 < X S4 )= ??? O A) 0,10 O B) 0,40 C) 0,30 O D) 0,50 XN34 5

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: (g) i–1 (h) i–2 (i) i -3

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Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

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Q: 20- What is the solution set of the equation? a) EMPTY SET B) NONE NS) {0,1,-1} D) REAL NUMBERS…

A: To find the solution set of the equation: [[x]]=sgn(x) where [[x]]=the largest integer that is less…

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

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Q: Find the length of (3et − 3, 4et + 7) for 0 ≤ t ≤ 1

A: To find the length

Q: Let x be a column of size n and let 2 xTx Mark only correct statements. A = In - x xx¹. a. The…

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Q: Suppose n lines are drawn in the plane in general position, meaning that no three lines intersect in…

A: The problem is essentially a planar graph coloring problem.In graph theory, a planar graph is a…

Q: Os) Solve fer the real mumbers x and y 2 25 (2+i)2 (2-i)2

A: We have x2-y2+i2-y2-x2-i2=225i-12y2-y We now simplify this equation.…

Q: 2) 3ェ+2x+325+2ス,ズzt 2%3 1I Yn「omh: 4,2+4ニ+44=」

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Q: Which of the following statements are correct for the pde -2uxxx +3vxt-7u, = e sinx Auft A) Linear,…

A: This question  is about  partial  differential equation

Q: Vove erf C-∞)= -I or J edt=-1 STT

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Q: 9) 28 35

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Q: 16. Find the set of real values of x for which:/3 - 2x/S/x + 4/. N.Find the set of values of x for…

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Q: Q1) Write the following in scientific notation 1.) 1.234*10 2) -8.765*10402 3.) 1015

A: Given notation can be solved by formulaes

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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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: Let x, y, z E Z be such that both odd, and z is even. Prov

A: Introduction: Even and odd numbers are distinguished by the following characteristics: Even Number:…

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: Which of the following s the solution set of 2x -2x 12? (-3, 2} B) (-2, 3} C) D) 2) 3.

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Q: ارسا zule 9.0 2 x= C

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Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: - [a C b If A = where a, b, c and d are real numbers, then prove that A²-(a + d)A + (ad-bc) I=O.…

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Q: 5) Solve for x: 1 a) 2* 16 b) 25* =125 C) \x+1 27 8 d) 27 8

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let ü = 21 – k and i = i + 3j + k. Compute |ū], |ū], ū × ĩ, and Projzu.

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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.